Finding the Fourth Proportional to 271,417.50, 407,128.86 and 102,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,417.50 : 407,128.86 = 102,892.50 : x
2. Step 2: Convert to fraction form
   271,417.50/407,128.86 = 102,892.50/x
3. Step 3: Cross multiply
   271,417.50x = 407,128.86 × 102,892.50
4. Step 4: Simplify right side
   271,417.50x = 41,890,506,227.55
5. Step 5: Solve for x
   x = 41,890,506,227.55/271,417.50
6. Step 6: Final answer
   x = 154,339.74