Finding the Fourth Proportional to 9,589.05, 13,210.20 and 9,146.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.05 : 13,210.20 = 9,146.16 : x
2. Step 2: Convert to fraction form
   9,589.05/13,210.20 = 9,146.16/x
3. Step 3: Cross multiply
   9,589.05x = 13,210.20 × 9,146.16
4. Step 4: Simplify right side
   9,589.05x = 120,822,602.83
5. Step 5: Solve for x
   x = 120,822,602.83/9,589.05
6. Step 6: Final answer
   x = 12,600.06