Finding the Fourth Proportional to 10,549.41, 14,557.71 and 5,769.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.41 : 14,557.71 = 5,769.23 : x
2. Step 2: Convert to fraction form
   10,549.41/14,557.71 = 5,769.23/x
3. Step 3: Cross multiply
   10,549.41x = 14,557.71 × 5,769.23
4. Step 4: Simplify right side
   10,549.41x = 83,986,704.47
5. Step 5: Solve for x
   x = 83,986,704.47/10,549.41
6. Step 6: Final answer
   x = 7,961.27