Finding the Fourth Proportional to 6,499.64, 9,731.27 and 3,527.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.64 : 9,731.27 = 3,527.42 : x
2. Step 2: Convert to fraction form
   6,499.64/9,731.27 = 3,527.42/x
3. Step 3: Cross multiply
   6,499.64x = 9,731.27 × 3,527.42
4. Step 4: Simplify right side
   6,499.64x = 34,326,236.59
5. Step 5: Solve for x
   x = 34,326,236.59/6,499.64
6. Step 6: Final answer
   x = 5,281.25