Finding the Fourth Proportional to 1,029.42, 1,419.98 and 749.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.42 : 1,419.98 = 749.31 : x
2. Step 2: Convert to fraction form
   1,029.42/1,419.98 = 749.31/x
3. Step 3: Cross multiply
   1,029.42x = 1,419.98 × 749.31
4. Step 4: Simplify right side
   1,029.42x = 1,064,005.21
5. Step 5: Solve for x
   x = 1,064,005.21/1,029.42
6. Step 6: Final answer
   x = 1,033.60