Finding the Fourth Proportional to 1,082.15, 1,491.32 and 782.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.15 : 1,491.32 = 782.89 : x
2. Step 2: Convert to fraction form
   1,082.15/1,491.32 = 782.89/x
3. Step 3: Cross multiply
   1,082.15x = 1,491.32 × 782.89
4. Step 4: Simplify right side
   1,082.15x = 1,167,534.02
5. Step 5: Solve for x
   x = 1,167,534.02/1,082.15
6. Step 6: Final answer
   x = 1,078.91