Finding the Fourth Proportional to 1,335.68, 1,843.17 and 746.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.68 : 1,843.17 = 746.10 : x
2. Step 2: Convert to fraction form
   1,335.68/1,843.17 = 746.10/x
3. Step 3: Cross multiply
   1,335.68x = 1,843.17 × 746.10
4. Step 4: Simplify right side
   1,335.68x = 1,375,189.14
5. Step 5: Solve for x
   x = 1,375,189.14/1,335.68
6. Step 6: Final answer
   x = 1,029.58