Finding the Fourth Proportional to 1,164.83, 1,747.86 and 775.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.83 : 1,747.86 = 775.02 : x
2. Step 2: Convert to fraction form
   1,164.83/1,747.86 = 775.02/x
3. Step 3: Cross multiply
   1,164.83x = 1,747.86 × 775.02
4. Step 4: Simplify right side
   1,164.83x = 1,354,626.46
5. Step 5: Solve for x
   x = 1,354,626.46/1,164.83
6. Step 6: Final answer
   x = 1,162.94