Finding the Fourth Proportional to 10,593.54, 15,878.78 and 7,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,593.54 : 15,878.78 = 7,978.50 : x
2. Step 2: Convert to fraction form
   10,593.54/15,878.78 = 7,978.50/x
3. Step 3: Cross multiply
   10,593.54x = 15,878.78 × 7,978.50
4. Step 4: Simplify right side
   10,593.54x = 126,688,846.23
5. Step 5: Solve for x
   x = 126,688,846.23/10,593.54
6. Step 6: Final answer
   x = 11,959.07