Finding the Fourth Proportional to 409,540.42, 614,308.20 and 105,934.60

Step by Step Solution

1. Step 1: Write the proportion equation
   409,540.42 : 614,308.20 = 105,934.60 : x
2. Step 2: Convert to fraction form
   409,540.42/614,308.20 = 105,934.60/x
3. Step 3: Cross multiply
   409,540.42x = 614,308.20 × 105,934.60
4. Step 4: Simplify right side
   409,540.42x = 65,076,493,443.72
5. Step 5: Solve for x
   x = 65,076,493,443.72/409,540.42
6. Step 6: Final answer
   x = 158,901.27