Finding the Fourth Proportional to 10,543.23, 14,549.27 and 5,827.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.23 : 14,549.27 = 5,827.59 : x
2. Step 2: Convert to fraction form
   10,543.23/14,549.27 = 5,827.59/x
3. Step 3: Cross multiply
   10,543.23x = 14,549.27 × 5,827.59
4. Step 4: Simplify right side
   10,543.23x = 84,787,151.22
5. Step 5: Solve for x
   x = 84,787,151.22/10,543.23
6. Step 6: Final answer
   x = 8,041.86