Finding the Fourth Proportional to 10,142.96, 13,997.02 and 5,666.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.96 : 13,997.02 = 5,666.56 : x
2. Step 2: Convert to fraction form
   10,142.96/13,997.02 = 5,666.56/x
3. Step 3: Cross multiply
   10,142.96x = 13,997.02 × 5,666.56
4. Step 4: Simplify right side
   10,142.96x = 79,314,953.65
5. Step 5: Solve for x
   x = 79,314,953.65/10,142.96
6. Step 6: Final answer
   x = 7,819.70