Finding the Fourth Proportional to 2,429.05, 3,642.57 and 762.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.05 : 3,642.57 = 762.62 : x
2. Step 2: Convert to fraction form
   2,429.05/3,642.57 = 762.62/x
3. Step 3: Cross multiply
   2,429.05x = 3,642.57 × 762.62
4. Step 4: Simplify right side
   2,429.05x = 2,777,898.64
5. Step 5: Solve for x
   x = 2,777,898.64/2,429.05
6. Step 6: Final answer
   x = 1,143.61