Finding the Fourth Proportional to 9,005.21, 12,426.59 and 5,647.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.21 : 12,426.59 = 5,647.88 : x
2. Step 2: Convert to fraction form
   9,005.21/12,426.59 = 5,647.88/x
3. Step 3: Cross multiply
   9,005.21x = 12,426.59 × 5,647.88
4. Step 4: Simplify right side
   9,005.21x = 70,183,889.13
5. Step 5: Solve for x
   x = 70,183,889.13/9,005.21
6. Step 6: Final answer
   x = 7,793.70