Finding the Fourth Proportional to 10,142.51, 13,996.32 and 5,666.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.51 : 13,996.32 = 5,666.23 : x
2. Step 2: Convert to fraction form
   10,142.51/13,996.32 = 5,666.23/x
3. Step 3: Cross multiply
   10,142.51x = 13,996.32 × 5,666.23
4. Step 4: Simplify right side
   10,142.51x = 79,306,368.27
5. Step 5: Solve for x
   x = 79,306,368.27/10,142.51
6. Step 6: Final answer
   x = 7,819.21