Finding the Fourth Proportional to 9,146.29, 12,622.82 and 6,596.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.29 : 12,622.82 = 6,596.16 : x
2. Step 2: Convert to fraction form
   9,146.29/12,622.82 = 6,596.16/x
3. Step 3: Cross multiply
   9,146.29x = 12,622.82 × 6,596.16
4. Step 4: Simplify right side
   9,146.29x = 83,262,140.37
5. Step 5: Solve for x
   x = 83,262,140.37/9,146.29
6. Step 6: Final answer
   x = 9,103.38