Finding the Fourth Proportional to 9,461.59, 14,165.61 and 5,009.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,461.59 : 14,165.61 = 5,009.14 : x
2. Step 2: Convert to fraction form
   9,461.59/14,165.61 = 5,009.14/x
3. Step 3: Cross multiply
   9,461.59x = 14,165.61 × 5,009.14
4. Step 4: Simplify right side
   9,461.59x = 70,957,523.68
5. Step 5: Solve for x
   x = 70,957,523.68/9,461.59
6. Step 6: Final answer
   x = 7,499.53