Finding the Fourth Proportional to 2,007.14, 2,770.42 and 1,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.14 : 2,770.42 = 1,261.50 : x
2. Step 2: Convert to fraction form
   2,007.14/2,770.42 = 1,261.50/x
3. Step 3: Cross multiply
   2,007.14x = 2,770.42 × 1,261.50
4. Step 4: Simplify right side
   2,007.14x = 3,494,884.83
5. Step 5: Solve for x
   x = 3,494,884.83/2,007.14
6. Step 6: Final answer
   x = 1,741.23