Finding the Fourth Proportional to 10,033.54, 13,846.06 and 5,784.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033.54 : 13,846.06 = 5,784.54 : x
2. Step 2: Convert to fraction form
   10,033.54/13,846.06 = 5,784.54/x
3. Step 3: Cross multiply
   10,033.54x = 13,846.06 × 5,784.54
4. Step 4: Simplify right side
   10,033.54x = 80,093,087.91
5. Step 5: Solve for x
   x = 80,093,087.91/10,033.54
6. Step 6: Final answer
   x = 7,982.54