Finding the Fourth Proportional to 1,164.24, 1,747.59 and 506.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.24 : 1,747.59 = 506.43 : x
2. Step 2: Convert to fraction form
   1,164.24/1,747.59 = 506.43/x
3. Step 3: Cross multiply
   1,164.24x = 1,747.59 × 506.43
4. Step 4: Simplify right side
   1,164.24x = 885,032.00
5. Step 5: Solve for x
   x = 885,032.00/1,164.24
6. Step 6: Final answer
   x = 760.18