Finding the Fourth Proportional to 1,574.42, 2,171.55 and 1,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,574.42 : 2,171.55 = 1,200.50 : x
2. Step 2: Convert to fraction form
   1,574.42/2,171.55 = 1,200.50/x
3. Step 3: Cross multiply
   1,574.42x = 2,171.55 × 1,200.50
4. Step 4: Simplify right side
   1,574.42x = 2,606,951.20
5. Step 5: Solve for x
   x = 2,606,951.20/1,574.42
6. Step 6: Final answer
   x = 1,655.81