Finding the Fourth Proportional to 1,301.74, 1,796.37 and 712.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.74 : 1,796.37 = 712.26 : x
2. Step 2: Convert to fraction form
   1,301.74/1,796.37 = 712.26/x
3. Step 3: Cross multiply
   1,301.74x = 1,796.37 × 712.26
4. Step 4: Simplify right side
   1,301.74x = 1,279,482.50
5. Step 5: Solve for x
   x = 1,279,482.50/1,301.74
6. Step 6: Final answer
   x = 982.90