Finding the Fourth Proportional to 1,411.57, 1,947.97 and 782.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.57 : 1,947.97 = 782.11 : x
2. Step 2: Convert to fraction form
   1,411.57/1,947.97 = 782.11/x
3. Step 3: Cross multiply
   1,411.57x = 1,947.97 × 782.11
4. Step 4: Simplify right side
   1,411.57x = 1,523,526.82
5. Step 5: Solve for x
   x = 1,523,526.82/1,411.57
6. Step 6: Final answer
   x = 1,079.31