Finding the Fourth Proportional to 1,164.28, 1,745.96 and 470.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.28 : 1,745.96 = 470.82 : x
2. Step 2: Convert to fraction form
   1,164.28/1,745.96 = 470.82/x
3. Step 3: Cross multiply
   1,164.28x = 1,745.96 × 470.82
4. Step 4: Simplify right side
   1,164.28x = 822,032.89
5. Step 5: Solve for x
   x = 822,032.89/1,164.28
6. Step 6: Final answer
   x = 706.04