Finding the Fourth Proportional to 1,085.84, 1,627.86 and 500.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.84 : 1,627.86 = 500.72 : x
2. Step 2: Convert to fraction form
   1,085.84/1,627.86 = 500.72/x
3. Step 3: Cross multiply
   1,085.84x = 1,627.86 × 500.72
4. Step 4: Simplify right side
   1,085.84x = 815,095.80
5. Step 5: Solve for x
   x = 815,095.80/1,085.84
6. Step 6: Final answer
   x = 750.66