Finding the Fourth Proportional to 10,982.52, 15,155.91 and 5,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,982.52 : 15,155.91 = 5,946.75 : x
2. Step 2: Convert to fraction form
   10,982.52/15,155.91 = 5,946.75/x
3. Step 3: Cross multiply
   10,982.52x = 15,155.91 × 5,946.75
4. Step 4: Simplify right side
   10,982.52x = 90,128,407.79
5. Step 5: Solve for x
   x = 90,128,407.79/10,982.52
6. Step 6: Final answer
   x = 8,206.53