Finding the Fourth Proportional to 2,521.58, 3,782.90 and 766.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.58 : 3,782.90 = 766.71 : x
2. Step 2: Convert to fraction form
   2,521.58/3,782.90 = 766.71/x
3. Step 3: Cross multiply
   2,521.58x = 3,782.90 × 766.71
4. Step 4: Simplify right side
   2,521.58x = 2,900,383.43
5. Step 5: Solve for x
   x = 2,900,383.43/2,521.58
6. Step 6: Final answer
   x = 1,150.23