Finding the Fourth Proportional to 10,375.16, 14,317.76 and 5,659.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,375.16 : 14,317.76 = 5,659.47 : x
2. Step 2: Convert to fraction form
   10,375.16/14,317.76 = 5,659.47/x
3. Step 3: Cross multiply
   10,375.16x = 14,317.76 × 5,659.47
4. Step 4: Simplify right side
   10,375.16x = 81,030,947.34
5. Step 5: Solve for x
   x = 81,030,947.34/10,375.16
6. Step 6: Final answer
   x = 7,810.10