Finding the Fourth Proportional to 1,411.83, 1,948.14 and 782.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.83 : 1,948.14 = 782.28 : x
2. Step 2: Convert to fraction form
   1,411.83/1,948.14 = 782.28/x
3. Step 3: Cross multiply
   1,411.83x = 1,948.14 × 782.28
4. Step 4: Simplify right side
   1,411.83x = 1,523,990.96
5. Step 5: Solve for x
   x = 1,523,990.96/1,411.83
6. Step 6: Final answer
   x = 1,079.44