Finding the Fourth Proportional to 1,255.87, 1,885.76 and 1,200.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.87 : 1,885.76 = 1,200.42 : x
2. Step 2: Convert to fraction form
   1,255.87/1,885.76 = 1,200.42/x
3. Step 3: Cross multiply
   1,255.87x = 1,885.76 × 1,200.42
4. Step 4: Simplify right side
   1,255.87x = 2,263,704.02
5. Step 5: Solve for x
   x = 2,263,704.02/1,255.87
6. Step 6: Final answer
   x = 1,802.50