Finding the Fourth Proportional to 2,165.86, 3,249.33 and 779.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.86 : 3,249.33 = 779.32 : x
2. Step 2: Convert to fraction form
   2,165.86/3,249.33 = 779.32/x
3. Step 3: Cross multiply
   2,165.86x = 3,249.33 × 779.32
4. Step 4: Simplify right side
   2,165.86x = 2,532,267.86
5. Step 5: Solve for x
   x = 2,532,267.86/2,165.86
6. Step 6: Final answer
   x = 1,169.17