Finding the Fourth Proportional to 10,546.82, 14,554.91 and 5,831.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.82 : 14,554.91 = 5,831.41 : x
2. Step 2: Convert to fraction form
   10,546.82/14,554.91 = 5,831.41/x
3. Step 3: Cross multiply
   10,546.82x = 14,554.91 × 5,831.41
4. Step 4: Simplify right side
   10,546.82x = 84,875,545.79
5. Step 5: Solve for x
   x = 84,875,545.79/10,546.82
6. Step 6: Final answer
   x = 8,047.50