Finding the Fourth Proportional to 10,538.51, 14,542.67 and 5,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.51 : 14,542.67 = 5,822.69 : x
2. Step 2: Convert to fraction form
   10,538.51/14,542.67 = 5,822.69/x
3. Step 3: Cross multiply
   10,538.51x = 14,542.67 × 5,822.69
4. Step 4: Simplify right side
   10,538.51x = 84,677,401.03
5. Step 5: Solve for x
   x = 84,677,401.03/10,538.51
6. Step 6: Final answer
   x = 8,035.05