Finding the Fourth Proportional to 2,513.62, 3,764.95 and 1,536.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.62 : 3,764.95 = 1,536.76 : x
2. Step 2: Convert to fraction form
   2,513.62/3,764.95 = 1,536.76/x
3. Step 3: Cross multiply
   2,513.62x = 3,764.95 × 1,536.76
4. Step 4: Simplify right side
   2,513.62x = 5,785,824.56
5. Step 5: Solve for x
   x = 5,785,824.56/2,513.62
6. Step 6: Final answer
   x = 2,301.79