Finding the Fourth Proportional to 9,774.48, 13,488.04 and 5,582.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.48 : 13,488.04 = 5,582.16 : x
2. Step 2: Convert to fraction form
   9,774.48/13,488.04 = 5,582.16/x
3. Step 3: Cross multiply
   9,774.48x = 13,488.04 × 5,582.16
4. Step 4: Simplify right side
   9,774.48x = 75,292,397.37
5. Step 5: Solve for x
   x = 75,292,397.37/9,774.48
6. Step 6: Final answer
   x = 7,702.96