Finding the Fourth Proportional to 9,884.67, 14,827.77 and 2,864.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.67 : 14,827.77 = 2,864.78 : x
2. Step 2: Convert to fraction form
   9,884.67/14,827.77 = 2,864.78/x
3. Step 3: Cross multiply
   9,884.67x = 14,827.77 × 2,864.78
4. Step 4: Simplify right side
   9,884.67x = 42,478,325.27
5. Step 5: Solve for x
   x = 42,478,325.27/9,884.67
6. Step 6: Final answer
   x = 4,297.39