Finding the Fourth Proportional to 1,085.10, 1,626.45 and 564.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.10 : 1,626.45 = 564.90 : x
2. Step 2: Convert to fraction form
   1,085.10/1,626.45 = 564.90/x
3. Step 3: Cross multiply
   1,085.10x = 1,626.45 × 564.90
4. Step 4: Simplify right side
   1,085.10x = 918,781.61
5. Step 5: Solve for x
   x = 918,781.61/1,085.10
6. Step 6: Final answer
   x = 846.73