Finding the Fourth Proportional to 9,406.50, 12,981.42 and 5,214.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.50 : 12,981.42 = 5,214.75 : x
2. Step 2: Convert to fraction form
   9,406.50/12,981.42 = 5,214.75/x
3. Step 3: Cross multiply
   9,406.50x = 12,981.42 × 5,214.75
4. Step 4: Simplify right side
   9,406.50x = 67,694,859.95
5. Step 5: Solve for x
   x = 67,694,859.95/9,406.50
6. Step 6: Final answer
   x = 7,196.60