Finding the Fourth Proportional to 2,165.34, 3,248.59 and 778.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.34 : 3,248.59 = 778.83 : x
2. Step 2: Convert to fraction form
   2,165.34/3,248.59 = 778.83/x
3. Step 3: Cross multiply
   2,165.34x = 3,248.59 × 778.83
4. Step 4: Simplify right side
   2,165.34x = 2,530,099.35
5. Step 5: Solve for x
   x = 2,530,099.35/2,165.34
6. Step 6: Final answer
   x = 1,168.45