Finding the Fourth Proportional to 4,002.50, 6,004.71 and 1,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.50 : 6,004.71 = 1,266.50 : x
2. Step 2: Convert to fraction form
   4,002.50/6,004.71 = 1,266.50/x
3. Step 3: Cross multiply
   4,002.50x = 6,004.71 × 1,266.50
4. Step 4: Simplify right side
   4,002.50x = 7,604,965.22
5. Step 5: Solve for x
   x = 7,604,965.22/4,002.50
6. Step 6: Final answer
   x = 1,900.05