Finding the Fourth Proportional to 13,002.16, 17,940.84 and 7,412.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.16 : 17,940.84 = 7,412.08 : x
2. Step 2: Convert to fraction form
   13,002.16/17,940.84 = 7,412.08/x
3. Step 3: Cross multiply
   13,002.16x = 17,940.84 × 7,412.08
4. Step 4: Simplify right side
   13,002.16x = 132,978,941.35
5. Step 5: Solve for x
   x = 132,978,941.35/13,002.16
6. Step 6: Final answer
   x = 10,227.45