Finding the Fourth Proportional to 11,564.86, 15,959.59 and 6,460.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.86 : 15,959.59 = 6,460.38 : x
2. Step 2: Convert to fraction form
   11,564.86/15,959.59 = 6,460.38/x
3. Step 3: Cross multiply
   11,564.86x = 15,959.59 × 6,460.38
4. Step 4: Simplify right side
   11,564.86x = 103,105,090.20
5. Step 5: Solve for x
   x = 103,105,090.20/11,564.86
6. Step 6: Final answer
   x = 8,915.37