Finding the Fourth Proportional to 2,256.10, 3,385.50 and 796.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.10 : 3,385.50 = 796.48 : x
2. Step 2: Convert to fraction form
   2,256.10/3,385.50 = 796.48/x
3. Step 3: Cross multiply
   2,256.10x = 3,385.50 × 796.48
4. Step 4: Simplify right side
   2,256.10x = 2,696,483.04
5. Step 5: Solve for x
   x = 2,696,483.04/2,256.10
6. Step 6: Final answer
   x = 1,195.20