Finding the Fourth Proportional to 6,978.10, 10,465.98 and 2,298.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.10 : 10,465.98 = 2,298.16 : x
2. Step 2: Convert to fraction form
   6,978.10/10,465.98 = 2,298.16/x
3. Step 3: Cross multiply
   6,978.10x = 10,465.98 × 2,298.16
4. Step 4: Simplify right side
   6,978.10x = 24,052,496.60
5. Step 5: Solve for x
   x = 24,052,496.60/6,978.10
6. Step 6: Final answer
   x = 3,446.85