Finding the Fourth Proportional to 10,543.06, 14,549.43 and 5,827.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.06 : 14,549.43 = 5,827.34 : x
2. Step 2: Convert to fraction form
   10,543.06/14,549.43 = 5,827.34/x
3. Step 3: Cross multiply
   10,543.06x = 14,549.43 × 5,827.34
4. Step 4: Simplify right side
   10,543.06x = 84,784,475.42
5. Step 5: Solve for x
   x = 84,784,475.42/10,543.06
6. Step 6: Final answer
   x = 8,041.73