Finding the Fourth Proportional to 10,175.79, 14,042.55 and 5,699.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.79 : 14,042.55 = 5,699.61 : x
2. Step 2: Convert to fraction form
   10,175.79/14,042.55 = 5,699.61/x
3. Step 3: Cross multiply
   10,175.79x = 14,042.55 × 5,699.61
4. Step 4: Simplify right side
   10,175.79x = 80,037,058.41
5. Step 5: Solve for x
   x = 80,037,058.41/10,175.79
6. Step 6: Final answer
   x = 7,865.44