Finding the Fourth Proportional to 10,538.22, 14,542.64 and 5,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.22 : 14,542.64 = 5,822.50 : x
2. Step 2: Convert to fraction form
   10,538.22/14,542.64 = 5,822.50/x
3. Step 3: Cross multiply
   10,538.22x = 14,542.64 × 5,822.50
4. Step 4: Simplify right side
   10,538.22x = 84,674,521.40
5. Step 5: Solve for x
   x = 84,674,521.40/10,538.22
6. Step 6: Final answer
   x = 8,034.99