Finding the Fourth Proportional to 1,411.80, 1,948.41 and 782.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.80 : 1,948.41 = 782.48 : x
2. Step 2: Convert to fraction form
   1,411.80/1,948.41 = 782.48/x
3. Step 3: Cross multiply
   1,411.80x = 1,948.41 × 782.48
4. Step 4: Simplify right side
   1,411.80x = 1,524,582.11
5. Step 5: Solve for x
   x = 1,524,582.11/1,411.80
6. Step 6: Final answer
   x = 1,079.89