Finding the Fourth Proportional to 1,164.67, 1,746.37 and 578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.67 : 1,746.37 = 578.38 : x
2. Step 2: Convert to fraction form
   1,164.67/1,746.37 = 578.38/x
3. Step 3: Cross multiply
   1,164.67x = 1,746.37 × 578.38
4. Step 4: Simplify right side
   1,164.67x = 1,010,062.59
5. Step 5: Solve for x
   x = 1,010,062.59/1,164.67
6. Step 6: Final answer
   x = 867.26