Finding the Fourth Proportional to 10,946.63, 15,106.70 and 5,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.63 : 15,106.70 = 5,978.63 : x
2. Step 2: Convert to fraction form
   10,946.63/15,106.70 = 5,978.63/x
3. Step 3: Cross multiply
   10,946.63x = 15,106.70 × 5,978.63
4. Step 4: Simplify right side
   10,946.63x = 90,317,309.23
5. Step 5: Solve for x
   x = 90,317,309.23/10,946.63
6. Step 6: Final answer
   x = 8,250.70