Finding the Fourth Proportional to 9,162.15, 12,651.65 and 5,764.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162.15 : 12,651.65 = 5,764.82 : x
2. Step 2: Convert to fraction form
   9,162.15/12,651.65 = 5,764.82/x
3. Step 3: Cross multiply
   9,162.15x = 12,651.65 × 5,764.82
4. Step 4: Simplify right side
   9,162.15x = 72,934,484.95
5. Step 5: Solve for x
   x = 72,934,484.95/9,162.15
6. Step 6: Final answer
   x = 7,960.42