Finding the Fourth Proportional to 6,978.10, 9,782.30 and 6,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.10 : 9,782.30 = 6,978.10 : x
2. Step 2: Convert to fraction form
   6,978.10/9,782.30 = 6,978.10/x
3. Step 3: Cross multiply
   6,978.10x = 9,782.30 × 6,978.10
4. Step 4: Simplify right side
   6,978.10x = 68,261,867.63
5. Step 5: Solve for x
   x = 68,261,867.63/6,978.10
6. Step 6: Final answer
   x = 9,782.30