Finding the Fourth Proportional to 2,978.08, 4,113.22 and 2,382.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.08 : 4,113.22 = 2,382.64 : x
2. Step 2: Convert to fraction form
   2,978.08/4,113.22 = 2,382.64/x
3. Step 3: Cross multiply
   2,978.08x = 4,113.22 × 2,382.64
4. Step 4: Simplify right side
   2,978.08x = 9,800,322.50
5. Step 5: Solve for x
   x = 9,800,322.50/2,978.08
6. Step 6: Final answer
   x = 3,290.82