Finding the Fourth Proportional to 9,677.58, 13,357.53 and 5,488.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.58 : 13,357.53 = 5,488.26 : x
2. Step 2: Convert to fraction form
   9,677.58/13,357.53 = 5,488.26/x
3. Step 3: Cross multiply
   9,677.58x = 13,357.53 × 5,488.26
4. Step 4: Simplify right side
   9,677.58x = 73,309,597.60
5. Step 5: Solve for x
   x = 73,309,597.60/9,677.58
6. Step 6: Final answer
   x = 7,575.20