Finding the Fourth Proportional to 102,191.28, 153,268.69 and 31,096.70

Step by Step Solution

1. Step 1: Write the proportion equation
   102,191.28 : 153,268.69 = 31,096.70 : x
2. Step 2: Convert to fraction form
   102,191.28/153,268.69 = 31,096.70/x
3. Step 3: Cross multiply
   102,191.28x = 153,268.69 × 31,096.70
4. Step 4: Simplify right side
   102,191.28x = 4,766,150,472.32
5. Step 5: Solve for x
   x = 4,766,150,472.32/102,191.28
6. Step 6: Final answer
   x = 46,639.50