Finding the Fourth Proportional to 2,776.50, 3,831.57 and 1,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.50 : 3,831.57 = 1,534.50 : x
2. Step 2: Convert to fraction form
   2,776.50/3,831.57 = 1,534.50/x
3. Step 3: Cross multiply
   2,776.50x = 3,831.57 × 1,534.50
4. Step 4: Simplify right side
   2,776.50x = 5,879,544.17
5. Step 5: Solve for x
   x = 5,879,544.17/2,776.50
6. Step 6: Final answer
   x = 2,117.61