Finding the Fourth Proportional to 1,411.71, 1,948.50 and 814.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.71 : 1,948.50 = 814.53 : x
2. Step 2: Convert to fraction form
   1,411.71/1,948.50 = 814.53/x
3. Step 3: Cross multiply
   1,411.71x = 1,948.50 × 814.53
4. Step 4: Simplify right side
   1,411.71x = 1,587,111.71
5. Step 5: Solve for x
   x = 1,587,111.71/1,411.71
6. Step 6: Final answer
   x = 1,124.25