Finding the Fourth Proportional to 9,002.96, 12,423.49 and 5,645.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.96 : 12,423.49 = 5,645.63 : x
2. Step 2: Convert to fraction form
   9,002.96/12,423.49 = 5,645.63/x
3. Step 3: Cross multiply
   9,002.96x = 12,423.49 × 5,645.63
4. Step 4: Simplify right side
   9,002.96x = 70,138,427.85
5. Step 5: Solve for x
   x = 70,138,427.85/9,002.96
6. Step 6: Final answer
   x = 7,790.60