Finding the Fourth Proportional to 10,543, 14,549.28 and 5,762.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543 : 14,549.28 = 5,762.89 : x
2. Step 2: Convert to fraction form
   10,543/14,549.28 = 5,762.89/x
3. Step 3: Cross multiply
   10,543x = 14,549.28 × 5,762.89
4. Step 4: Simplify right side
   10,543x = 83,845,900.22
5. Step 5: Solve for x
   x = 83,845,900.22/10,543
6. Step 6: Final answer
   x = 7,952.76