Finding the Fourth Proportional to 9,774.32, 13,488.63 and 5,298.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.32 : 13,488.63 = 5,298.10 : x
2. Step 2: Convert to fraction form
   9,774.32/13,488.63 = 5,298.10/x
3. Step 3: Cross multiply
   9,774.32x = 13,488.63 × 5,298.10
4. Step 4: Simplify right side
   9,774.32x = 71,464,057.01
5. Step 5: Solve for x
   x = 71,464,057.01/9,774.32
6. Step 6: Final answer
   x = 7,311.41