Finding the Fourth Proportional to 10,307.50, 14,224.35 and 5,831.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,307.50 : 14,224.35 = 5,831.16 : x
2. Step 2: Convert to fraction form
   10,307.50/14,224.35 = 5,831.16/x
3. Step 3: Cross multiply
   10,307.50x = 14,224.35 × 5,831.16
4. Step 4: Simplify right side
   10,307.50x = 82,944,460.75
5. Step 5: Solve for x
   x = 82,944,460.75/10,307.50
6. Step 6: Final answer
   x = 8,047.00