Finding the Fourth Proportional to 10,171.34, 14,035.88 and 5,695.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.34 : 14,035.88 = 5,695.02 : x
2. Step 2: Convert to fraction form
   10,171.34/14,035.88 = 5,695.02/x
3. Step 3: Cross multiply
   10,171.34x = 14,035.88 × 5,695.02
4. Step 4: Simplify right side
   10,171.34x = 79,934,518.66
5. Step 5: Solve for x
   x = 79,934,518.66/10,171.34
6. Step 6: Final answer
   x = 7,858.80