Finding the Fourth Proportional to 10,142.09, 13,996.79 and 5,666.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.09 : 13,996.79 = 5,666.49 : x
2. Step 2: Convert to fraction form
   10,142.09/13,996.79 = 5,666.49/x
3. Step 3: Cross multiply
   10,142.09x = 13,996.79 × 5,666.49
4. Step 4: Simplify right side
   10,142.09x = 79,312,670.57
5. Step 5: Solve for x
   x = 79,312,670.57/10,142.09
6. Step 6: Final answer
   x = 7,820.15