Finding the Fourth Proportional to 5,946.78, 8,199.10 and 3,818.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946.78 : 8,199.10 = 3,818.55 : x
2. Step 2: Convert to fraction form
   5,946.78/8,199.10 = 3,818.55/x
3. Step 3: Cross multiply
   5,946.78x = 8,199.10 × 3,818.55
4. Step 4: Simplify right side
   5,946.78x = 31,308,673.31
5. Step 5: Solve for x
   x = 31,308,673.31/5,946.78
6. Step 6: Final answer
   x = 5,264.81