Finding the Fourth Proportional to 10,141.85, 13,996.29 and 5,665.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.85 : 13,996.29 = 5,665.70 : x
2. Step 2: Convert to fraction form
   10,141.85/13,996.29 = 5,665.70/x
3. Step 3: Cross multiply
   10,141.85x = 13,996.29 × 5,665.70
4. Step 4: Simplify right side
   10,141.85x = 79,298,710.27
5. Step 5: Solve for x
   x = 79,298,710.27/10,141.85
6. Step 6: Final answer
   x = 7,818.96