Finding the Fourth Proportional to 9,610.50, 13,261.83 and 5,577.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,610.50 : 13,261.83 = 5,577.44 : x
2. Step 2: Convert to fraction form
   9,610.50/13,261.83 = 5,577.44/x
3. Step 3: Cross multiply
   9,610.50x = 13,261.83 × 5,577.44
4. Step 4: Simplify right side
   9,610.50x = 73,967,048.49
5. Step 5: Solve for x
   x = 73,967,048.49/9,610.50
6. Step 6: Final answer
   x = 7,696.49