Finding the Fourth Proportional to 10,946.50, 15,106.17 and 5,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.50 : 15,106.17 = 5,978.50 : x
2. Step 2: Convert to fraction form
   10,946.50/15,106.17 = 5,978.50/x
3. Step 3: Cross multiply
   10,946.50x = 15,106.17 × 5,978.50
4. Step 4: Simplify right side
   10,946.50x = 90,312,237.35
5. Step 5: Solve for x
   x = 90,312,237.35/10,946.50
6. Step 6: Final answer
   x = 8,250.33