Finding the Fourth Proportional to 8,142.02, 12,233.53 and 5,181.82

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.02 : 12,233.53 = 5,181.82 : x
2. Step 2: Convert to fraction form
   8,142.02/12,233.53 = 5,181.82/x
3. Step 3: Cross multiply
   8,142.02x = 12,233.53 × 5,181.82
4. Step 4: Simplify right side
   8,142.02x = 63,391,995.13
5. Step 5: Solve for x
   x = 63,391,995.13/8,142.02
6. Step 6: Final answer
   x = 7,785.78