Finding the Fourth Proportional to 9,162, 12,642.12 and 5,181.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162 : 12,642.12 = 5,181.84 : x
2. Step 2: Convert to fraction form
   9,162/12,642.12 = 5,181.84/x
3. Step 3: Cross multiply
   9,162x = 12,642.12 × 5,181.84
4. Step 4: Simplify right side
   9,162x = 65,509,443.10
5. Step 5: Solve for x
   x = 65,509,443.10/9,162
6. Step 6: Final answer
   x = 7,150.12