Finding the Fourth Proportional to 9,922.86, 14,864.04 and 5,542.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.86 : 14,864.04 = 5,542.65 : x
2. Step 2: Convert to fraction form
   9,922.86/14,864.04 = 5,542.65/x
3. Step 3: Cross multiply
   9,922.86x = 14,864.04 × 5,542.65
4. Step 4: Simplify right side
   9,922.86x = 82,386,171.31
5. Step 5: Solve for x
   x = 82,386,171.31/9,922.86
6. Step 6: Final answer
   x = 8,302.66