Finding the Fourth Proportional to 10,306.20, 14,222.52 and 5,590.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.20 : 14,222.52 = 5,590.47 : x
2. Step 2: Convert to fraction form
   10,306.20/14,222.52 = 5,590.47/x
3. Step 3: Cross multiply
   10,306.20x = 14,222.52 × 5,590.47
4. Step 4: Simplify right side
   10,306.20x = 79,510,571.38
5. Step 5: Solve for x
   x = 79,510,571.38/10,306.20
6. Step 6: Final answer
   x = 7,714.83