Finding the Fourth Proportional to 2,659.60, 3,670.50 and 1,596.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.60 : 3,670.50 = 1,596.88 : x
2. Step 2: Convert to fraction form
   2,659.60/3,670.50 = 1,596.88/x
3. Step 3: Cross multiply
   2,659.60x = 3,670.50 × 1,596.88
4. Step 4: Simplify right side
   2,659.60x = 5,861,348.04
5. Step 5: Solve for x
   x = 5,861,348.04/2,659.60
6. Step 6: Final answer
   x = 2,203.85