Finding the Fourth Proportional to 10,141.86, 13,996.32 and 5,665.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.86 : 13,996.32 = 5,665.62 : x
2. Step 2: Convert to fraction form
   10,141.86/13,996.32 = 5,665.62/x
3. Step 3: Cross multiply
   10,141.86x = 13,996.32 × 5,665.62
4. Step 4: Simplify right side
   10,141.86x = 79,297,830.52
5. Step 5: Solve for x
   x = 79,297,830.52/10,141.86
6. Step 6: Final answer
   x = 7,818.86