Finding the Fourth Proportional to 10,546.79, 14,554.61 and 5,831.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.79 : 14,554.61 = 5,831.06 : x
2. Step 2: Convert to fraction form
   10,546.79/14,554.61 = 5,831.06/x
3. Step 3: Cross multiply
   10,546.79x = 14,554.61 × 5,831.06
4. Step 4: Simplify right side
   10,546.79x = 84,868,855.15
5. Step 5: Solve for x
   x = 84,868,855.15/10,546.79
6. Step 6: Final answer
   x = 8,046.89