Finding the Fourth Proportional to 1,029.34, 1,419.98 and 734.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.34 : 1,419.98 = 734.78 : x
2. Step 2: Convert to fraction form
   1,029.34/1,419.98 = 734.78/x
3. Step 3: Cross multiply
   1,029.34x = 1,419.98 × 734.78
4. Step 4: Simplify right side
   1,029.34x = 1,043,372.78
5. Step 5: Solve for x
   x = 1,043,372.78/1,029.34
6. Step 6: Final answer
   x = 1,013.64