Finding the Fourth Proportional to 9,324.96, 12,870.17 and 5,346.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,324.96 : 12,870.17 = 5,346.10 : x
2. Step 2: Convert to fraction form
   9,324.96/12,870.17 = 5,346.10/x
3. Step 3: Cross multiply
   9,324.96x = 12,870.17 × 5,346.10
4. Step 4: Simplify right side
   9,324.96x = 68,805,215.84
5. Step 5: Solve for x
   x = 68,805,215.84/9,324.96
6. Step 6: Final answer
   x = 7,378.61