Finding the Fourth Proportional to 9,005.86, 12,429.21 and 5,468.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.86 : 12,429.21 = 5,468.14 : x
2. Step 2: Convert to fraction form
   9,005.86/12,429.21 = 5,468.14/x
3. Step 3: Cross multiply
   9,005.86x = 12,429.21 × 5,468.14
4. Step 4: Simplify right side
   9,005.86x = 67,964,660.37
5. Step 5: Solve for x
   x = 67,964,660.37/9,005.86
6. Step 6: Final answer
   x = 7,546.72