Finding the Fourth Proportional to 10,546.84, 14,555.46 and 5,831.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.84 : 14,555.46 = 5,831.56 : x
2. Step 2: Convert to fraction form
   10,546.84/14,555.46 = 5,831.56/x
3. Step 3: Cross multiply
   10,546.84x = 14,555.46 × 5,831.56
4. Step 4: Simplify right side
   10,546.84x = 84,881,038.32
5. Step 5: Solve for x
   x = 84,881,038.32/10,546.84
6. Step 6: Final answer
   x = 8,048.01