Finding the Fourth Proportional to 10,937.82, 15,082.56 and 7,164.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,937.82 : 15,082.56 = 7,164.30 : x
2. Step 2: Convert to fraction form
   10,937.82/15,082.56 = 7,164.30/x
3. Step 3: Cross multiply
   10,937.82x = 15,082.56 × 7,164.30
4. Step 4: Simplify right side
   10,937.82x = 108,055,984.61
5. Step 5: Solve for x
   x = 108,055,984.61/10,937.82
6. Step 6: Final answer
   x = 9,879.12