Finding the Fourth Proportional to 1,364.78, 1,883.40 and 743.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.78 : 1,883.40 = 743.78 : x
2. Step 2: Convert to fraction form
   1,364.78/1,883.40 = 743.78/x
3. Step 3: Cross multiply
   1,364.78x = 1,883.40 × 743.78
4. Step 4: Simplify right side
   1,364.78x = 1,400,835.25
5. Step 5: Solve for x
   x = 1,400,835.25/1,364.78
6. Step 6: Final answer
   x = 1,026.42