Finding the Fourth Proportional to 10,978.77, 16,470.78 and 3,583.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.77 : 16,470.78 = 3,583.05 : x
2. Step 2: Convert to fraction form
   10,978.77/16,470.78 = 3,583.05/x
3. Step 3: Cross multiply
   10,978.77x = 16,470.78 × 3,583.05
4. Step 4: Simplify right side
   10,978.77x = 59,015,628.28
5. Step 5: Solve for x
   x = 59,015,628.28/10,978.77
6. Step 6: Final answer
   x = 5,375.43