Finding the Fourth Proportional to 3,196.86, 4,802.27 and 2,278.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.86 : 4,802.27 = 2,278.32 : x
2. Step 2: Convert to fraction form
   3,196.86/4,802.27 = 2,278.32/x
3. Step 3: Cross multiply
   3,196.86x = 4,802.27 × 2,278.32
4. Step 4: Simplify right side
   3,196.86x = 10,941,113.48
5. Step 5: Solve for x
   x = 10,941,113.48/3,196.86
6. Step 6: Final answer
   x = 3,422.46