Finding the Fourth Proportional to 10,142.64, 13,996.69 and 5,666.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.64 : 13,996.69 = 5,666.46 : x
2. Step 2: Convert to fraction form
   10,142.64/13,996.69 = 5,666.46/x
3. Step 3: Cross multiply
   10,142.64x = 13,996.69 × 5,666.46
4. Step 4: Simplify right side
   10,142.64x = 79,311,684.02
5. Step 5: Solve for x
   x = 79,311,684.02/10,142.64
6. Step 6: Final answer
   x = 7,819.63