Finding the Fourth Proportional to 10,543.84, 14,549.79 and 5,762.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.84 : 14,549.79 = 5,762.81 : x
2. Step 2: Convert to fraction form
   10,543.84/14,549.79 = 5,762.81/x
3. Step 3: Cross multiply
   10,543.84x = 14,549.79 × 5,762.81
4. Step 4: Simplify right side
   10,543.84x = 83,847,675.31
5. Step 5: Solve for x
   x = 83,847,675.31/10,543.84
6. Step 6: Final answer
   x = 7,952.29