Finding the Fourth Proportional to 2,521.52, 3,782.24 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.52 : 3,782.24 = 766.52 : x
2. Step 2: Convert to fraction form
   2,521.52/3,782.24 = 766.52/x
3. Step 3: Cross multiply
   2,521.52x = 3,782.24 × 766.52
4. Step 4: Simplify right side
   2,521.52x = 2,899,162.60
5. Step 5: Solve for x
   x = 2,899,162.60/2,521.52
6. Step 6: Final answer
   x = 1,149.77