Finding the Fourth Proportional to 1,411.91, 1,948.40 and 782.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.91 : 1,948.40 = 782.41 : x
2. Step 2: Convert to fraction form
   1,411.91/1,948.40 = 782.41/x
3. Step 3: Cross multiply
   1,411.91x = 1,948.40 × 782.41
4. Step 4: Simplify right side
   1,411.91x = 1,524,449.85
5. Step 5: Solve for x
   x = 1,524,449.85/1,411.91
6. Step 6: Final answer
   x = 1,079.71