Finding the Fourth Proportional to 10,307.32, 14,224.10 and 5,830.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,307.32 : 14,224.10 = 5,830.97 : x
2. Step 2: Convert to fraction form
   10,307.32/14,224.10 = 5,830.97/x
3. Step 3: Cross multiply
   10,307.32x = 14,224.10 × 5,830.97
4. Step 4: Simplify right side
   10,307.32x = 82,940,200.10
5. Step 5: Solve for x
   x = 82,940,200.10/10,307.32
6. Step 6: Final answer
   x = 8,046.73