Finding the Fourth Proportional to 10,543.31, 14,549.58 and 5,827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.31 : 14,549.58 = 5,827.55 : x
2. Step 2: Convert to fraction form
   10,543.31/14,549.58 = 5,827.55/x
3. Step 3: Cross multiply
   10,543.31x = 14,549.58 × 5,827.55
4. Step 4: Simplify right side
   10,543.31x = 84,788,441.30
5. Step 5: Solve for x
   x = 84,788,441.30/10,543.31
6. Step 6: Final answer
   x = 8,041.92