Finding the Fourth Proportional to 10,171.48, 14,035.02 and 5,695.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.48 : 14,035.02 = 5,695.42 : x
2. Step 2: Convert to fraction form
   10,171.48/14,035.02 = 5,695.42/x
3. Step 3: Cross multiply
   10,171.48x = 14,035.02 × 5,695.42
4. Step 4: Simplify right side
   10,171.48x = 79,935,333.61
5. Step 5: Solve for x
   x = 79,935,333.61/10,171.48
6. Step 6: Final answer
   x = 7,858.77