Finding the Fourth Proportional to 6,978.24, 10,467.72 and 1,784.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.24 : 10,467.72 = 1,784.16 : x
2. Step 2: Convert to fraction form
   6,978.24/10,467.72 = 1,784.16/x
3. Step 3: Cross multiply
   6,978.24x = 10,467.72 × 1,784.16
4. Step 4: Simplify right side
   6,978.24x = 18,676,087.32
5. Step 5: Solve for x
   x = 18,676,087.32/6,978.24
6. Step 6: Final answer
   x = 2,676.33