Finding the Fourth Proportional to 9,774, 13,488.12 and 5,582.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 13,488.12 = 5,582.34 : x
2. Step 2: Convert to fraction form
   9,774/13,488.12 = 5,582.34/x
3. Step 3: Cross multiply
   9,774x = 13,488.12 × 5,582.34
4. Step 4: Simplify right side
   9,774x = 75,295,271.80
5. Step 5: Solve for x
   x = 75,295,271.80/9,774
6. Step 6: Final answer
   x = 7,703.63