Finding the Fourth Proportional to 2,503.82, 3,744.99 and 1,461.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,503.82 : 3,744.99 = 1,461.22 : x
2. Step 2: Convert to fraction form
   2,503.82/3,744.99 = 1,461.22/x
3. Step 3: Cross multiply
   2,503.82x = 3,744.99 × 1,461.22
4. Step 4: Simplify right side
   2,503.82x = 5,472,254.29
5. Step 5: Solve for x
   x = 5,472,254.29/2,503.82
6. Step 6: Final answer
   x = 2,185.56