Finding the Fourth Proportional to 2,114.42, 3,169.71 and 1,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.42 : 3,169.71 = 1,200.50 : x
2. Step 2: Convert to fraction form
   2,114.42/3,169.71 = 1,200.50/x
3. Step 3: Cross multiply
   2,114.42x = 3,169.71 × 1,200.50
4. Step 4: Simplify right side
   2,114.42x = 3,805,236.86
5. Step 5: Solve for x
   x = 3,805,236.86/2,114.42
6. Step 6: Final answer
   x = 1,799.66