Finding the Fourth Proportional to 1,885.75, 2,831.52 and 1,802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.75 : 2,831.52 = 1,802.56 : x
2. Step 2: Convert to fraction form
   1,885.75/2,831.52 = 1,802.56/x
3. Step 3: Cross multiply
   1,885.75x = 2,831.52 × 1,802.56
4. Step 4: Simplify right side
   1,885.75x = 5,103,984.69
5. Step 5: Solve for x
   x = 5,103,984.69/1,885.75
6. Step 6: Final answer
   x = 2,706.61