Finding the Fourth Proportional to 2,506.21, 3,756.71 and 945.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.21 : 3,756.71 = 945.10 : x
2. Step 2: Convert to fraction form
   2,506.21/3,756.71 = 945.10/x
3. Step 3: Cross multiply
   2,506.21x = 3,756.71 × 945.10
4. Step 4: Simplify right side
   2,506.21x = 3,550,473.68
5. Step 5: Solve for x
   x = 3,550,473.68/2,506.21
6. Step 6: Final answer
   x = 1,416.67