Finding the Fourth Proportional to 1,164.86, 1,746.72 and 424.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.86 : 1,746.72 = 424.45 : x
2. Step 2: Convert to fraction form
   1,164.86/1,746.72 = 424.45/x
3. Step 3: Cross multiply
   1,164.86x = 1,746.72 × 424.45
4. Step 4: Simplify right side
   1,164.86x = 741,395.30
5. Step 5: Solve for x
   x = 741,395.30/1,164.86
6. Step 6: Final answer
   x = 636.47