Finding the Fourth Proportional to 10,375.37, 14,317.96 and 5,659.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,375.37 : 14,317.96 = 5,659.64 : x
2. Step 2: Convert to fraction form
   10,375.37/14,317.96 = 5,659.64/x
3. Step 3: Cross multiply
   10,375.37x = 14,317.96 × 5,659.64
4. Step 4: Simplify right side
   10,375.37x = 81,034,499.13
5. Step 5: Solve for x
   x = 81,034,499.13/10,375.37
6. Step 6: Final answer
   x = 7,810.28