Finding the Fourth Proportional to 12,814.74, 17,684.47 and 7,150

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.74 : 17,684.47 = 7,150 : x
2. Step 2: Convert to fraction form
   12,814.74/17,684.47 = 7,150/x
3. Step 3: Cross multiply
   12,814.74x = 17,684.47 × 7,150
4. Step 4: Simplify right side
   12,814.74x = 126,443,960.50
5. Step 5: Solve for x
   x = 126,443,960.50/12,814.74
6. Step 6: Final answer
   x = 9,867.07