Finding the Fourth Proportional to 1,061.82, 1,464.91 and 782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.82 : 1,464.91 = 782.72 : x
2. Step 2: Convert to fraction form
   1,061.82/1,464.91 = 782.72/x
3. Step 3: Cross multiply
   1,061.82x = 1,464.91 × 782.72
4. Step 4: Simplify right side
   1,061.82x = 1,146,610.57
5. Step 5: Solve for x
   x = 1,146,610.57/1,061.82
6. Step 6: Final answer
   x = 1,079.85