Finding the Fourth Proportional to 6,343.59, 8,748.78 and 3,825.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,343.59 : 8,748.78 = 3,825.15 : x
2. Step 2: Convert to fraction form
   6,343.59/8,748.78 = 3,825.15/x
3. Step 3: Cross multiply
   6,343.59x = 8,748.78 × 3,825.15
4. Step 4: Simplify right side
   6,343.59x = 33,465,395.82
5. Step 5: Solve for x
   x = 33,465,395.82/6,343.59
6. Step 6: Final answer
   x = 5,275.47