Finding the Fourth Proportional to 2,715.76, 3,747.67 and 1,536.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,715.76 : 3,747.67 = 1,536.80 : x
2. Step 2: Convert to fraction form
   2,715.76/3,747.67 = 1,536.80/x
3. Step 3: Cross multiply
   2,715.76x = 3,747.67 × 1,536.80
4. Step 4: Simplify right side
   2,715.76x = 5,759,411.57
5. Step 5: Solve for x
   x = 5,759,411.57/2,715.76
6. Step 6: Final answer
   x = 2,120.74