Finding the Fourth Proportional to 1,343.50, 1,854.05 and 746.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,343.50 : 1,854.05 = 746.01 : x
2. Step 2: Convert to fraction form
   1,343.50/1,854.05 = 746.01/x
3. Step 3: Cross multiply
   1,343.50x = 1,854.05 × 746.01
4. Step 4: Simplify right side
   1,343.50x = 1,383,139.84
5. Step 5: Solve for x
   x = 1,383,139.84/1,343.50
6. Step 6: Final answer
   x = 1,029.50