Finding the Fourth Proportional to 9,640.37, 13,302.30 and 5,662.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.37 : 13,302.30 = 5,662.77 : x
2. Step 2: Convert to fraction form
   9,640.37/13,302.30 = 5,662.77/x
3. Step 3: Cross multiply
   9,640.37x = 13,302.30 × 5,662.77
4. Step 4: Simplify right side
   9,640.37x = 75,327,865.37
5. Step 5: Solve for x
   x = 75,327,865.37/9,640.37
6. Step 6: Final answer
   x = 7,813.79