Finding the Fourth Proportional to 1,411.53, 1,947.96 and 782.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.53 : 1,947.96 = 782.10 : x
2. Step 2: Convert to fraction form
   1,411.53/1,947.96 = 782.10/x
3. Step 3: Cross multiply
   1,411.53x = 1,947.96 × 782.10
4. Step 4: Simplify right side
   1,411.53x = 1,523,499.52
5. Step 5: Solve for x
   x = 1,523,499.52/1,411.53
6. Step 6: Final answer
   x = 1,079.32