Finding the Fourth Proportional to 1,085.90, 1,627.83 and 591.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.90 : 1,627.83 = 591.57 : x
2. Step 2: Convert to fraction form
   1,085.90/1,627.83 = 591.57/x
3. Step 3: Cross multiply
   1,085.90x = 1,627.83 × 591.57
4. Step 4: Simplify right side
   1,085.90x = 962,981.32
5. Step 5: Solve for x
   x = 962,981.32/1,085.90
6. Step 6: Final answer
   x = 886.81