Finding the Fourth Proportional to 3,142.40, 4,711.64 and 1,061.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.40 : 4,711.64 = 1,061.78 : x
2. Step 2: Convert to fraction form
   3,142.40/4,711.64 = 1,061.78/x
3. Step 3: Cross multiply
   3,142.40x = 4,711.64 × 1,061.78
4. Step 4: Simplify right side
   3,142.40x = 5,002,696.25
5. Step 5: Solve for x
   x = 5,002,696.25/3,142.40
6. Step 6: Final answer
   x = 1,592.00