Finding the Fourth Proportional to 9,774.25, 13,488.60 and 5,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.25 : 13,488.60 = 5,582.50 : x
2. Step 2: Convert to fraction form
   9,774.25/13,488.60 = 5,582.50/x
3. Step 3: Cross multiply
   9,774.25x = 13,488.60 × 5,582.50
4. Step 4: Simplify right side
   9,774.25x = 75,300,109.50
5. Step 5: Solve for x
   x = 75,300,109.50/9,774.25
6. Step 6: Final answer
   x = 7,703.93