Finding the Fourth Proportional to 5,645.87, 7,792.59 and 3,757.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.87 : 7,792.59 = 3,757.53 : x
2. Step 2: Convert to fraction form
   5,645.87/7,792.59 = 3,757.53/x
3. Step 3: Cross multiply
   5,645.87x = 7,792.59 × 3,757.53
4. Step 4: Simplify right side
   5,645.87x = 29,280,934.02
5. Step 5: Solve for x
   x = 29,280,934.02/5,645.87
6. Step 6: Final answer
   x = 5,186.26