Finding the Fourth Proportional to 1,435.78, 2,153.94 and 742.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.78 : 2,153.94 = 742.78 : x
2. Step 2: Convert to fraction form
   1,435.78/2,153.94 = 742.78/x
3. Step 3: Cross multiply
   1,435.78x = 2,153.94 × 742.78
4. Step 4: Simplify right side
   1,435.78x = 1,599,903.55
5. Step 5: Solve for x
   x = 1,599,903.55/1,435.78
6. Step 6: Final answer
   x = 1,114.31