Finding the Fourth Proportional to 9,145.68, 12,621.60 and 5,165.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,145.68 : 12,621.60 = 5,165.34 : x
2. Step 2: Convert to fraction form
   9,145.68/12,621.60 = 5,165.34/x
3. Step 3: Cross multiply
   9,145.68x = 12,621.60 × 5,165.34
4. Step 4: Simplify right side
   9,145.68x = 65,194,855.34
5. Step 5: Solve for x
   x = 65,194,855.34/9,145.68
6. Step 6: Final answer
   x = 7,128.49