Finding the Fourth Proportional to 10,306.74, 14,225.34 and 5,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.74 : 14,225.34 = 5,830.50 : x
2. Step 2: Convert to fraction form
   10,306.74/14,225.34 = 5,830.50/x
3. Step 3: Cross multiply
   10,306.74x = 14,225.34 × 5,830.50
4. Step 4: Simplify right side
   10,306.74x = 82,940,844.87
5. Step 5: Solve for x
   x = 82,940,844.87/10,306.74
6. Step 6: Final answer
   x = 8,047.24