Finding the Fourth Proportional to 2,086.53, 2,879.54 and 1,178.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.53 : 2,879.54 = 1,178.06 : x
2. Step 2: Convert to fraction form
   2,086.53/2,879.54 = 1,178.06/x
3. Step 3: Cross multiply
   2,086.53x = 2,879.54 × 1,178.06
4. Step 4: Simplify right side
   2,086.53x = 3,392,255.02
5. Step 5: Solve for x
   x = 3,392,255.02/2,086.53
6. Step 6: Final answer
   x = 1,625.79