Finding the Fourth Proportional to 9,340.01, 12,890.12 and 6,978.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,340.01 : 12,890.12 = 6,978.05 : x
2. Step 2: Convert to fraction form
   9,340.01/12,890.12 = 6,978.05/x
3. Step 3: Cross multiply
   9,340.01x = 12,890.12 × 6,978.05
4. Step 4: Simplify right side
   9,340.01x = 89,947,802.53
5. Step 5: Solve for x
   x = 89,947,802.53/9,340.01
6. Step 6: Final answer
   x = 9,630.38