Finding the Fourth Proportional to 1,184.34, 1,785.38 and 1,105.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.34 : 1,785.38 = 1,105.05 : x
2. Step 2: Convert to fraction form
   1,184.34/1,785.38 = 1,105.05/x
3. Step 3: Cross multiply
   1,184.34x = 1,785.38 × 1,105.05
4. Step 4: Simplify right side
   1,184.34x = 1,972,934.17
5. Step 5: Solve for x
   x = 1,972,934.17/1,184.34
6. Step 6: Final answer
   x = 1,665.85