Finding the Fourth Proportional to 1,164.24, 1,746.52 and 394.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.24 : 1,746.52 = 394.72 : x
2. Step 2: Convert to fraction form
   1,164.24/1,746.52 = 394.72/x
3. Step 3: Cross multiply
   1,164.24x = 1,746.52 × 394.72
4. Step 4: Simplify right side
   1,164.24x = 689,386.37
5. Step 5: Solve for x
   x = 689,386.37/1,164.24
6. Step 6: Final answer
   x = 592.13