Finding the Fourth Proportional to 10,025.37, 13,831.83 and 5,832.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.37 : 13,831.83 = 5,832.81 : x
2. Step 2: Convert to fraction form
   10,025.37/13,831.83 = 5,832.81/x
3. Step 3: Cross multiply
   10,025.37x = 13,831.83 × 5,832.81
4. Step 4: Simplify right side
   10,025.37x = 80,678,436.34
5. Step 5: Solve for x
   x = 80,678,436.34/10,025.37
6. Step 6: Final answer
   x = 8,047.43