Finding the Fourth Proportional to 10,306.14, 14,222.58 and 5,590.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.14 : 14,222.58 = 5,590.46 : x
2. Step 2: Convert to fraction form
   10,306.14/14,222.58 = 5,590.46/x
3. Step 3: Cross multiply
   10,306.14x = 14,222.58 × 5,590.46
4. Step 4: Simplify right side
   10,306.14x = 79,510,764.59
5. Step 5: Solve for x
   x = 79,510,764.59/10,306.14
6. Step 6: Final answer
   x = 7,714.89