Finding the Fourth Proportional to 5,641.78, 8,464.56 and 1,946.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.78 : 8,464.56 = 1,946.56 : x
2. Step 2: Convert to fraction form
   5,641.78/8,464.56 = 1,946.56/x
3. Step 3: Cross multiply
   5,641.78x = 8,464.56 × 1,946.56
4. Step 4: Simplify right side
   5,641.78x = 16,476,773.91
5. Step 5: Solve for x
   x = 16,476,773.91/5,641.78
6. Step 6: Final answer
   x = 2,920.49