Finding the Fourth Proportional to 11,499.56, 15,871.01 and 6,464.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,499.56 : 15,871.01 = 6,464.10 : x
2. Step 2: Convert to fraction form
   11,499.56/15,871.01 = 6,464.10/x
3. Step 3: Cross multiply
   11,499.56x = 15,871.01 × 6,464.10
4. Step 4: Simplify right side
   11,499.56x = 102,591,877.48
5. Step 5: Solve for x
   x = 102,591,877.48/11,499.56
6. Step 6: Final answer
   x = 8,921.38