Finding the Fourth Proportional to 9,774.13, 13,488.25 and 5,297.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.13 : 13,488.25 = 5,297.84 : x
2. Step 2: Convert to fraction form
   9,774.13/13,488.25 = 5,297.84/x
3. Step 3: Cross multiply
   9,774.13x = 13,488.25 × 5,297.84
4. Step 4: Simplify right side
   9,774.13x = 71,458,590.38
5. Step 5: Solve for x
   x = 71,458,590.38/9,774.13
6. Step 6: Final answer
   x = 7,310.99