Finding the Fourth Proportional to 9,677.50, 13,355.22 and 5,486.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.50 : 13,355.22 = 5,486.02 : x
2. Step 2: Convert to fraction form
   9,677.50/13,355.22 = 5,486.02/x
3. Step 3: Cross multiply
   9,677.50x = 13,355.22 × 5,486.02
4. Step 4: Simplify right side
   9,677.50x = 73,267,004.02
5. Step 5: Solve for x
   x = 73,267,004.02/9,677.50
6. Step 6: Final answer
   x = 7,570.86