Finding the Fourth Proportional to 5,105.87, 7,662.61 and 3,792.65

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.87 : 7,662.61 = 3,792.65 : x
2. Step 2: Convert to fraction form
   5,105.87/7,662.61 = 3,792.65/x
3. Step 3: Cross multiply
   5,105.87x = 7,662.61 × 3,792.65
4. Step 4: Simplify right side
   5,105.87x = 29,061,597.82
5. Step 5: Solve for x
   x = 29,061,597.82/5,105.87
6. Step 6: Final answer
   x = 5,691.81