Finding the Fourth Proportional to 9,865.83, 14,801.50 and 5,486.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.83 : 14,801.50 = 5,486.37 : x
2. Step 2: Convert to fraction form
   9,865.83/14,801.50 = 5,486.37/x
3. Step 3: Cross multiply
   9,865.83x = 14,801.50 × 5,486.37
4. Step 4: Simplify right side
   9,865.83x = 81,206,456.91
5. Step 5: Solve for x
   x = 81,206,456.91/9,865.83
6. Step 6: Final answer
   x = 8,231.08