Finding the Fourth Proportional to 10,946.75, 15,106.52 and 5,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.75 : 15,106.52 = 5,978.75 : x
2. Step 2: Convert to fraction form
   10,946.75/15,106.52 = 5,978.75/x
3. Step 3: Cross multiply
   10,946.75x = 15,106.52 × 5,978.75
4. Step 4: Simplify right side
   10,946.75x = 90,318,076.56
5. Step 5: Solve for x
   x = 90,318,076.56/10,946.75
6. Step 6: Final answer
   x = 8,250.68