Finding the Fourth Proportional to 9,162.12, 12,641.63 and 5,182.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162.12 : 12,641.63 = 5,182.37 : x
2. Step 2: Convert to fraction form
   9,162.12/12,641.63 = 5,182.37/x
3. Step 3: Cross multiply
   9,162.12x = 12,641.63 × 5,182.37
4. Step 4: Simplify right side
   9,162.12x = 65,513,514.94
5. Step 5: Solve for x
   x = 65,513,514.94/9,162.12
6. Step 6: Final answer
   x = 7,150.48