Finding the Fourth Proportional to 1,411.97, 1,948.50 and 782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.97 : 1,948.50 = 782.50 : x
2. Step 2: Convert to fraction form
   1,411.97/1,948.50 = 782.50/x
3. Step 3: Cross multiply
   1,411.97x = 1,948.50 × 782.50
4. Step 4: Simplify right side
   1,411.97x = 1,524,690.16
5. Step 5: Solve for x
   x = 1,524,690.16/1,411.97
6. Step 6: Final answer
   x = 1,079.83