Finding the Fourth Proportional to 5,200.10, 7,785.84 and 3,946.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.10 : 7,785.84 = 3,946.94 : x
2. Step 2: Convert to fraction form
   5,200.10/7,785.84 = 3,946.94/x
3. Step 3: Cross multiply
   5,200.10x = 7,785.84 × 3,946.94
4. Step 4: Simplify right side
   5,200.10x = 30,730,243.33
5. Step 5: Solve for x
   x = 30,730,243.33/5,200.10
6. Step 6: Final answer
   x = 5,909.55