Finding the Fourth Proportional to 2,506.71, 3,760.59 and 946.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.71 : 3,760.59 = 946.68 : x
2. Step 2: Convert to fraction form
   2,506.71/3,760.59 = 946.68/x
3. Step 3: Cross multiply
   2,506.71x = 3,760.59 × 946.68
4. Step 4: Simplify right side
   2,506.71x = 3,560,075.34
5. Step 5: Solve for x
   x = 3,560,075.34/2,506.71
6. Step 6: Final answer
   x = 1,420.22