Finding the Fourth Proportional to 10,538.34, 14,542.62 and 5,822.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.34 : 14,542.62 = 5,822.52 : x
2. Step 2: Convert to fraction form
   10,538.34/14,542.62 = 5,822.52/x
3. Step 3: Cross multiply
   10,538.34x = 14,542.62 × 5,822.52
4. Step 4: Simplify right side
   10,538.34x = 84,674,695.80
5. Step 5: Solve for x
   x = 84,674,695.80/10,538.34
6. Step 6: Final answer
   x = 8,034.92