Finding the Fourth Proportional to 9,774.51, 13,488.77 and 5,298.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.51 : 13,488.77 = 5,298.21 : x
2. Step 2: Convert to fraction form
   9,774.51/13,488.77 = 5,298.21/x
3. Step 3: Cross multiply
   9,774.51x = 13,488.77 × 5,298.21
4. Step 4: Simplify right side
   9,774.51x = 71,466,336.10
5. Step 5: Solve for x
   x = 71,466,336.10/9,774.51
6. Step 6: Final answer
   x = 7,311.50