Finding the Fourth Proportional to 9,298.14, 12,831.63 and 5,106.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.14 : 12,831.63 = 5,106.36 : x
2. Step 2: Convert to fraction form
   9,298.14/12,831.63 = 5,106.36/x
3. Step 3: Cross multiply
   9,298.14x = 12,831.63 × 5,106.36
4. Step 4: Simplify right side
   9,298.14x = 65,522,922.17
5. Step 5: Solve for x
   x = 65,522,922.17/9,298.14
6. Step 6: Final answer
   x = 7,046.88