Finding the Fourth Proportional to 10,306.63, 14,223.09 and 5,590.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.63 : 14,223.09 = 5,590.81 : x
2. Step 2: Convert to fraction form
   10,306.63/14,223.09 = 5,590.81/x
3. Step 3: Cross multiply
   10,306.63x = 14,223.09 × 5,590.81
4. Step 4: Simplify right side
   10,306.63x = 79,518,593.80
5. Step 5: Solve for x
   x = 79,518,593.80/10,306.63
6. Step 6: Final answer
   x = 7,715.29