Finding the Fourth Proportional to 2,831.16, 3,909.34 and 1,838.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,831.16 : 3,909.34 = 1,838.15 : x
2. Step 2: Convert to fraction form
   2,831.16/3,909.34 = 1,838.15/x
3. Step 3: Cross multiply
   2,831.16x = 3,909.34 × 1,838.15
4. Step 4: Simplify right side
   2,831.16x = 7,185,953.32
5. Step 5: Solve for x
   x = 7,185,953.32/2,831.16
6. Step 6: Final answer
   x = 2,538.17