Finding the Fourth Proportional to 1,256.47, 1,881.60 and 735.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.47 : 1,881.60 = 735.10 : x
2. Step 2: Convert to fraction form
   1,256.47/1,881.60 = 735.10/x
3. Step 3: Cross multiply
   1,256.47x = 1,881.60 × 735.10
4. Step 4: Simplify right side
   1,256.47x = 1,383,164.16
5. Step 5: Solve for x
   x = 1,383,164.16/1,256.47
6. Step 6: Final answer
   x = 1,100.83