Finding the Fourth Proportional to 2,538.24, 3,500.64 and 1,653.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.24 : 3,500.64 = 1,653.36 : x
2. Step 2: Convert to fraction form
   2,538.24/3,500.64 = 1,653.36/x
3. Step 3: Cross multiply
   2,538.24x = 3,500.64 × 1,653.36
4. Step 4: Simplify right side
   2,538.24x = 5,787,818.15
5. Step 5: Solve for x
   x = 5,787,818.15/2,538.24
6. Step 6: Final answer
   x = 2,280.25