Finding the Fourth Proportional to 5,114.74, 7,665.90 and 3,631.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.74 : 7,665.90 = 3,631.62 : x
2. Step 2: Convert to fraction form
   5,114.74/7,665.90 = 3,631.62/x
3. Step 3: Cross multiply
   5,114.74x = 7,665.90 × 3,631.62
4. Step 4: Simplify right side
   5,114.74x = 27,839,635.76
5. Step 5: Solve for x
   x = 27,839,635.76/5,114.74
6. Step 6: Final answer
   x = 5,443.02