Finding the Fourth Proportional to 2,513.69, 3,763.24 and 1,536.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.69 : 3,763.24 = 1,536.83 : x
2. Step 2: Convert to fraction form
   2,513.69/3,763.24 = 1,536.83/x
3. Step 3: Cross multiply
   2,513.69x = 3,763.24 × 1,536.83
4. Step 4: Simplify right side
   2,513.69x = 5,783,460.13
5. Step 5: Solve for x
   x = 5,783,460.13/2,513.69
6. Step 6: Final answer
   x = 2,300.78