Finding the Fourth Proportional to 1,596.25, 2,200.42 and 1,259.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.25 : 2,200.42 = 1,259.57 : x
2. Step 2: Convert to fraction form
   1,596.25/2,200.42 = 1,259.57/x
3. Step 3: Cross multiply
   1,596.25x = 2,200.42 × 1,259.57
4. Step 4: Simplify right side
   1,596.25x = 2,771,577.72
5. Step 5: Solve for x
   x = 2,771,577.72/1,596.25
6. Step 6: Final answer
   x = 1,736.31