Finding the Fourth Proportional to 9,947.82, 14,893.65 and 5,257.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,947.82 : 14,893.65 = 5,257.20 : x
2. Step 2: Convert to fraction form
   9,947.82/14,893.65 = 5,257.20/x
3. Step 3: Cross multiply
   9,947.82x = 14,893.65 × 5,257.20
4. Step 4: Simplify right side
   9,947.82x = 78,298,896.78
5. Step 5: Solve for x
   x = 78,298,896.78/9,947.82
6. Step 6: Final answer
   x = 7,870.96