Finding the Fourth Proportional to 10,549.40, 14,557.72 and 5,769.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.40 : 14,557.72 = 5,769.22 : x
2. Step 2: Convert to fraction form
   10,549.40/14,557.72 = 5,769.22/x
3. Step 3: Cross multiply
   10,549.40x = 14,557.72 × 5,769.22
4. Step 4: Simplify right side
   10,549.40x = 83,986,689.38
5. Step 5: Solve for x
   x = 83,986,689.38/10,549.40
6. Step 6: Final answer
   x = 7,961.28