Finding the Fourth Proportional to 1,411.99, 1,948.56 and 782.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.99 : 1,948.56 = 782.53 : x
2. Step 2: Convert to fraction form
   1,411.99/1,948.56 = 782.53/x
3. Step 3: Cross multiply
   1,411.99x = 1,948.56 × 782.53
4. Step 4: Simplify right side
   1,411.99x = 1,524,806.66
5. Step 5: Solve for x
   x = 1,524,806.66/1,411.99
6. Step 6: Final answer
   x = 1,079.90