Finding the Fourth Proportional to 2,108.06, 2,909.92 and 1,585.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108.06 : 2,909.92 = 1,585.60 : x
2. Step 2: Convert to fraction form
   2,108.06/2,909.92 = 1,585.60/x
3. Step 3: Cross multiply
   2,108.06x = 2,909.92 × 1,585.60
4. Step 4: Simplify right side
   2,108.06x = 4,613,969.15
5. Step 5: Solve for x
   x = 4,613,969.15/2,108.06
6. Step 6: Final answer
   x = 2,188.73