Finding the Fourth Proportional to 1,411.53, 1,947.92 and 782.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.53 : 1,947.92 = 782.07 : x
2. Step 2: Convert to fraction form
   1,411.53/1,947.92 = 782.07/x
3. Step 3: Cross multiply
   1,411.53x = 1,947.92 × 782.07
4. Step 4: Simplify right side
   1,411.53x = 1,523,409.54
5. Step 5: Solve for x
   x = 1,523,409.54/1,411.53
6. Step 6: Final answer
   x = 1,079.26