Finding the Fourth Proportional to 10,142.71, 13,997.22 and 5,666.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.71 : 13,997.22 = 5,666.95 : x
2. Step 2: Convert to fraction form
   10,142.71/13,997.22 = 5,666.95/x
3. Step 3: Cross multiply
   10,142.71x = 13,997.22 × 5,666.95
4. Step 4: Simplify right side
   10,142.71x = 79,321,574.00
5. Step 5: Solve for x
   x = 79,321,574.00/10,142.71
6. Step 6: Final answer
   x = 7,820.55