Finding the Fourth Proportional to 9,865.50, 13,616.04 and 5,672.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.50 : 13,616.04 = 5,672.94 : x
2. Step 2: Convert to fraction form
   9,865.50/13,616.04 = 5,672.94/x
3. Step 3: Cross multiply
   9,865.50x = 13,616.04 × 5,672.94
4. Step 4: Simplify right side
   9,865.50x = 77,242,977.96
5. Step 5: Solve for x
   x = 77,242,977.96/9,865.50
6. Step 6: Final answer
   x = 7,829.61