Finding the Fourth Proportional to 9,856.50, 14,776.46 and 4,588.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.50 : 14,776.46 = 4,588.82 : x
2. Step 2: Convert to fraction form
   9,856.50/14,776.46 = 4,588.82/x
3. Step 3: Cross multiply
   9,856.50x = 14,776.46 × 4,588.82
4. Step 4: Simplify right side
   9,856.50x = 67,806,452.77
5. Step 5: Solve for x
   x = 67,806,452.77/9,856.50
6. Step 6: Final answer
   x = 6,879.36