Finding the Fourth Proportional to 76,168.20, 105,110.78 and 42,176

Step by Step Solution

1. Step 1: Write the proportion equation
   76,168.20 : 105,110.78 = 42,176 : x
2. Step 2: Convert to fraction form
   76,168.20/105,110.78 = 42,176/x
3. Step 3: Cross multiply
   76,168.20x = 105,110.78 × 42,176
4. Step 4: Simplify right side
   76,168.20x = 4,433,152,257.28
5. Step 5: Solve for x
   x = 4,433,152,257.28/76,168.20
6. Step 6: Final answer
   x = 58,202.14