Finding the Fourth Proportional to 109,877.46, 164,820.24 and 30,993.80

Step by Step Solution

1. Step 1: Write the proportion equation
   109,877.46 : 164,820.24 = 30,993.80 : x
2. Step 2: Convert to fraction form
   109,877.46/164,820.24 = 30,993.80/x
3. Step 3: Cross multiply
   109,877.46x = 164,820.24 × 30,993.80
4. Step 4: Simplify right side
   109,877.46x = 5,108,404,730.41
5. Step 5: Solve for x
   x = 5,108,404,730.41/109,877.46
6. Step 6: Final answer
   x = 46,491.83