Finding the Fourth Proportional to 6,947.40, 9,586.50 and 4,259.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,947.40 : 9,586.50 = 4,259.82 : x
2. Step 2: Convert to fraction form
   6,947.40/9,586.50 = 4,259.82/x
3. Step 3: Cross multiply
   6,947.40x = 9,586.50 × 4,259.82
4. Step 4: Simplify right side
   6,947.40x = 40,836,764.43
5. Step 5: Solve for x
   x = 40,836,764.43/6,947.40
6. Step 6: Final answer
   x = 5,877.99