Finding the Fourth Proportional to 1,259.52, 1,738 and 735.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.52 : 1,738 = 735.52 : x
2. Step 2: Convert to fraction form
   1,259.52/1,738 = 735.52/x
3. Step 3: Cross multiply
   1,259.52x = 1,738 × 735.52
4. Step 4: Simplify right side
   1,259.52x = 1,278,333.76
5. Step 5: Solve for x
   x = 1,278,333.76/1,259.52
6. Step 6: Final answer
   x = 1,014.94