Finding the Fourth Proportional to 1,411.83, 1,948.28 and 782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.83 : 1,948.28 = 782.38 : x
2. Step 2: Convert to fraction form
   1,411.83/1,948.28 = 782.38/x
3. Step 3: Cross multiply
   1,411.83x = 1,948.28 × 782.38
4. Step 4: Simplify right side
   1,411.83x = 1,524,301.51
5. Step 5: Solve for x
   x = 1,524,301.51/1,411.83
6. Step 6: Final answer
   x = 1,079.66