Finding the Fourth Proportional to 1,085.84, 1,498.10 and 613.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.84 : 1,498.10 = 613.68 : x
2. Step 2: Convert to fraction form
   1,085.84/1,498.10 = 613.68/x
3. Step 3: Cross multiply
   1,085.84x = 1,498.10 × 613.68
4. Step 4: Simplify right side
   1,085.84x = 919,345.32
5. Step 5: Solve for x
   x = 919,345.32/1,085.84
6. Step 6: Final answer
   x = 846.67