Finding the Fourth Proportional to 1,255.40, 1,882.52 and 735.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.40 : 1,882.52 = 735.56 : x
2. Step 2: Convert to fraction form
   1,255.40/1,882.52 = 735.56/x
3. Step 3: Cross multiply
   1,255.40x = 1,882.52 × 735.56
4. Step 4: Simplify right side
   1,255.40x = 1,384,693.32
5. Step 5: Solve for x
   x = 1,384,693.32/1,255.40
6. Step 6: Final answer
   x = 1,102.99