Finding the Fourth Proportional to 10,978.87, 16,468.84 and 3,583.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.87 : 16,468.84 = 3,583.32 : x
2. Step 2: Convert to fraction form
   10,978.87/16,468.84 = 3,583.32/x
3. Step 3: Cross multiply
   10,978.87x = 16,468.84 × 3,583.32
4. Step 4: Simplify right side
   10,978.87x = 59,013,123.75
5. Step 5: Solve for x
   x = 59,013,123.75/10,978.87
6. Step 6: Final answer
   x = 5,375.15