Finding the Fourth Proportional to 10,538.67, 14,542.83 and 5,822.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.67 : 14,542.83 = 5,822.04 : x
2. Step 2: Convert to fraction form
   10,538.67/14,542.83 = 5,822.04/x
3. Step 3: Cross multiply
   10,538.67x = 14,542.83 × 5,822.04
4. Step 4: Simplify right side
   10,538.67x = 84,668,937.97
5. Step 5: Solve for x
   x = 84,668,937.97/10,538.67
6. Step 6: Final answer
   x = 8,034.12