Finding the Fourth Proportional to 2,521.70, 3,782.42 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.70 : 3,782.42 = 766.62 : x
2. Step 2: Convert to fraction form
   2,521.70/3,782.42 = 766.62/x
3. Step 3: Cross multiply
   2,521.70x = 3,782.42 × 766.62
4. Step 4: Simplify right side
   2,521.70x = 2,899,678.82
5. Step 5: Solve for x
   x = 2,899,678.82/2,521.70
6. Step 6: Final answer
   x = 1,149.89