Finding the Fourth Proportional to 2,500.64, 3,747.68 and 1,461.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.64 : 3,747.68 = 1,461.68 : x
2. Step 2: Convert to fraction form
   2,500.64/3,747.68 = 1,461.68/x
3. Step 3: Cross multiply
   2,500.64x = 3,747.68 × 1,461.68
4. Step 4: Simplify right side
   2,500.64x = 5,477,908.90
5. Step 5: Solve for x
   x = 5,477,908.90/2,500.64
6. Step 6: Final answer
   x = 2,190.60