Finding the Fourth Proportional to 2,715.86, 3,747.57 and 1,536.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,715.86 : 3,747.57 = 1,536.92 : x
2. Step 2: Convert to fraction form
   2,715.86/3,747.57 = 1,536.92/x
3. Step 3: Cross multiply
   2,715.86x = 3,747.57 × 1,536.92
4. Step 4: Simplify right side
   2,715.86x = 5,759,715.28
5. Step 5: Solve for x
   x = 5,759,715.28/2,715.86
6. Step 6: Final answer
   x = 2,120.77