Finding the Fourth Proportional to 10,374.33, 14,317.05 and 5,658.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.33 : 14,317.05 = 5,658.61 : x
2. Step 2: Convert to fraction form
   10,374.33/14,317.05 = 5,658.61/x
3. Step 3: Cross multiply
   10,374.33x = 14,317.05 × 5,658.61
4. Step 4: Simplify right side
   10,374.33x = 81,014,614.57
5. Step 5: Solve for x
   x = 81,014,614.57/10,374.33
6. Step 6: Final answer
   x = 7,809.14