Finding the Fourth Proportional to 10,538.57, 14,543.52 and 5,823.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.57 : 14,543.52 = 5,823.16 : x
2. Step 2: Convert to fraction form
   10,538.57/14,543.52 = 5,823.16/x
3. Step 3: Cross multiply
   10,538.57x = 14,543.52 × 5,823.16
4. Step 4: Simplify right side
   10,538.57x = 84,689,243.92
5. Step 5: Solve for x
   x = 84,689,243.92/10,538.57
6. Step 6: Final answer
   x = 8,036.12