Finding the Fourth Proportional to 6,785.60, 10,179.86 and 2,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,785.60 : 10,179.86 = 2,105.50 : x
2. Step 2: Convert to fraction form
   6,785.60/10,179.86 = 2,105.50/x
3. Step 3: Cross multiply
   6,785.60x = 10,179.86 × 2,105.50
4. Step 4: Simplify right side
   6,785.60x = 21,433,695.23
5. Step 5: Solve for x
   x = 21,433,695.23/6,785.60
6. Step 6: Final answer
   x = 3,158.70