Finding the Fourth Proportional to 2,105.50, 2,902.26 and 1,685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.50 : 2,902.26 = 1,685.20 : x
2. Step 2: Convert to fraction form
   2,105.50/2,902.26 = 1,685.20/x
3. Step 3: Cross multiply
   2,105.50x = 2,902.26 × 1,685.20
4. Step 4: Simplify right side
   2,105.50x = 4,890,888.55
5. Step 5: Solve for x
   x = 4,890,888.55/2,105.50
6. Step 6: Final answer
   x = 2,322.91