Finding the Fourth Proportional to 10,375.38, 14,318.02 and 5,659.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,375.38 : 14,318.02 = 5,659.69 : x
2. Step 2: Convert to fraction form
   10,375.38/14,318.02 = 5,659.69/x
3. Step 3: Cross multiply
   10,375.38x = 14,318.02 × 5,659.69
4. Step 4: Simplify right side
   10,375.38x = 81,035,554.61
5. Step 5: Solve for x
   x = 81,035,554.61/10,375.38
6. Step 6: Final answer
   x = 7,810.37