Finding the Fourth Proportional to 9,774.56, 13,488.72 and 5,582.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.56 : 13,488.72 = 5,582.24 : x
2. Step 2: Convert to fraction form
   9,774.56/13,488.72 = 5,582.24/x
3. Step 3: Cross multiply
   9,774.56x = 13,488.72 × 5,582.24
4. Step 4: Simplify right side
   9,774.56x = 75,297,272.33
5. Step 5: Solve for x
   x = 75,297,272.33/9,774.56
6. Step 6: Final answer
   x = 7,703.39