Finding the Fourth Proportional to 9,146.66, 12,625.89 and 5,614.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.66 : 12,625.89 = 5,614.67 : x
2. Step 2: Convert to fraction form
   9,146.66/12,625.89 = 5,614.67/x
3. Step 3: Cross multiply
   9,146.66x = 12,625.89 × 5,614.67
4. Step 4: Simplify right side
   9,146.66x = 70,890,205.81
5. Step 5: Solve for x
   x = 70,890,205.81/9,146.66
6. Step 6: Final answer
   x = 7,750.39