Finding the Fourth Proportional to 6,974.86, 10,459.71 and 2,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,974.86 : 10,459.71 = 2,293.50 : x
2. Step 2: Convert to fraction form
   6,974.86/10,459.71 = 2,293.50/x
3. Step 3: Cross multiply
   6,974.86x = 10,459.71 × 2,293.50
4. Step 4: Simplify right side
   6,974.86x = 23,989,362.95
5. Step 5: Solve for x
   x = 23,989,362.95/6,974.86
6. Step 6: Final answer
   x = 3,439.40