Finding the Fourth Proportional to 6,320.46, 9,468.57 and 3,538.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,320.46 : 9,468.57 = 3,538.71 : x
2. Step 2: Convert to fraction form
   6,320.46/9,468.57 = 3,538.71/x
3. Step 3: Cross multiply
   6,320.46x = 9,468.57 × 3,538.71
4. Step 4: Simplify right side
   6,320.46x = 33,506,523.34
5. Step 5: Solve for x
   x = 33,506,523.34/6,320.46
6. Step 6: Final answer
   x = 5,301.28