Finding the Fourth Proportional to 2,553.15, 3,828.53 and 1,513.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.15 : 3,828.53 = 1,513.30 : x
2. Step 2: Convert to fraction form
   2,553.15/3,828.53 = 1,513.30/x
3. Step 3: Cross multiply
   2,553.15x = 3,828.53 × 1,513.30
4. Step 4: Simplify right side
   2,553.15x = 5,793,714.45
5. Step 5: Solve for x
   x = 5,793,714.45/2,553.15
6. Step 6: Final answer
   x = 2,269.24