Finding the Fourth Proportional to 10,373.75, 14,315.96 and 5,658.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,373.75 : 14,315.96 = 5,658.20 : x
2. Step 2: Convert to fraction form
   10,373.75/14,315.96 = 5,658.20/x
3. Step 3: Cross multiply
   10,373.75x = 14,315.96 × 5,658.20
4. Step 4: Simplify right side
   10,373.75x = 81,002,507.44
5. Step 5: Solve for x
   x = 81,002,507.44/10,373.75
6. Step 6: Final answer
   x = 7,808.42