Finding the Fourth Proportional to 2,422.59, 3,635.70 and 1,600.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.59 : 3,635.70 = 1,600.57 : x
2. Step 2: Convert to fraction form
   2,422.59/3,635.70 = 1,600.57/x
3. Step 3: Cross multiply
   2,422.59x = 3,635.70 × 1,600.57
4. Step 4: Simplify right side
   2,422.59x = 5,819,192.35
5. Step 5: Solve for x
   x = 5,819,192.35/2,422.59
6. Step 6: Final answer
   x = 2,402.05