Finding the Fourth Proportional to 1,831.02, 2,749.82 and 1,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,831.02 : 2,749.82 = 1,684.50 : x
2. Step 2: Convert to fraction form
   1,831.02/2,749.82 = 1,684.50/x
3. Step 3: Cross multiply
   1,831.02x = 2,749.82 × 1,684.50
4. Step 4: Simplify right side
   1,831.02x = 4,632,071.79
5. Step 5: Solve for x
   x = 4,632,071.79/1,831.02
6. Step 6: Final answer
   x = 2,529.78