Finding the Fourth Proportional to 1,160.83, 1,738.61 and 613.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.83 : 1,738.61 = 613.67 : x
2. Step 2: Convert to fraction form
   1,160.83/1,738.61 = 613.67/x
3. Step 3: Cross multiply
   1,160.83x = 1,738.61 × 613.67
4. Step 4: Simplify right side
   1,160.83x = 1,066,929.73
5. Step 5: Solve for x
   x = 1,066,929.73/1,160.83
6. Step 6: Final answer
   x = 919.11