Finding the Fourth Proportional to 10,978.68, 16,471.68 and 7,295.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.68 : 16,471.68 = 7,295.40 : x
2. Step 2: Convert to fraction form
   10,978.68/16,471.68 = 7,295.40/x
3. Step 3: Cross multiply
   10,978.68x = 16,471.68 × 7,295.40
4. Step 4: Simplify right side
   10,978.68x = 120,167,494.27
5. Step 5: Solve for x
   x = 120,167,494.27/10,978.68
6. Step 6: Final answer
   x = 10,945.53