Finding the Fourth Proportional to 10,142.86, 13,997.14 and 5,666.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.86 : 13,997.14 = 5,666.61 : x
2. Step 2: Convert to fraction form
   10,142.86/13,997.14 = 5,666.61/x
3. Step 3: Cross multiply
   10,142.86x = 13,997.14 × 5,666.61
4. Step 4: Simplify right side
   10,142.86x = 79,316,333.50
5. Step 5: Solve for x
   x = 79,316,333.50/10,142.86
6. Step 6: Final answer
   x = 7,819.92