Finding the Fourth Proportional to 1,085.34, 1,627.16 and 500.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.34 : 1,627.16 = 500.72 : x
2. Step 2: Convert to fraction form
   1,085.34/1,627.16 = 500.72/x
3. Step 3: Cross multiply
   1,085.34x = 1,627.16 × 500.72
4. Step 4: Simplify right side
   1,085.34x = 814,740.92
5. Step 5: Solve for x
   x = 814,740.92/1,085.34
6. Step 6: Final answer
   x = 750.68