Finding the Fourth Proportional to 1,411.61, 1,948.02 and 782.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.61 : 1,948.02 = 782.18 : x
2. Step 2: Convert to fraction form
   1,411.61/1,948.02 = 782.18/x
3. Step 3: Cross multiply
   1,411.61x = 1,948.02 × 782.18
4. Step 4: Simplify right side
   1,411.61x = 1,523,702.28
5. Step 5: Solve for x
   x = 1,523,702.28/1,411.61
6. Step 6: Final answer
   x = 1,079.41