Finding the Fourth Proportional to 10,982.49, 15,155.74 and 5,946.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,982.49 : 15,155.74 = 5,946.58 : x
2. Step 2: Convert to fraction form
   10,982.49/15,155.74 = 5,946.58/x
3. Step 3: Cross multiply
   10,982.49x = 15,155.74 × 5,946.58
4. Step 4: Simplify right side
   10,982.49x = 90,124,846.75
5. Step 5: Solve for x
   x = 90,124,846.75/10,982.49
6. Step 6: Final answer
   x = 8,206.23