Finding the Fourth Proportional to 9,406.56, 12,981.12 and 5,214.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.56 : 12,981.12 = 5,214.84 : x
2. Step 2: Convert to fraction form
   9,406.56/12,981.12 = 5,214.84/x
3. Step 3: Cross multiply
   9,406.56x = 12,981.12 × 5,214.84
4. Step 4: Simplify right side
   9,406.56x = 67,694,463.82
5. Step 5: Solve for x
   x = 67,694,463.82/9,406.56
6. Step 6: Final answer
   x = 7,196.52