Finding the Fourth Proportional to 10,538.28, 14,541.98 and 5,822.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.28 : 14,541.98 = 5,822.57 : x
2. Step 2: Convert to fraction form
   10,538.28/14,541.98 = 5,822.57/x
3. Step 3: Cross multiply
   10,538.28x = 14,541.98 × 5,822.57
4. Step 4: Simplify right side
   10,538.28x = 84,671,594.67
5. Step 5: Solve for x
   x = 84,671,594.67/10,538.28
6. Step 6: Final answer
   x = 8,034.67