Finding the Fourth Proportional to 1,085.59, 1,627.16 and 538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.59 : 1,627.16 = 538.16 : x
2. Step 2: Convert to fraction form
   1,085.59/1,627.16 = 538.16/x
3. Step 3: Cross multiply
   1,085.59x = 1,627.16 × 538.16
4. Step 4: Simplify right side
   1,085.59x = 875,669.73
5. Step 5: Solve for x
   x = 875,669.73/1,085.59
6. Step 6: Final answer
   x = 806.63