Finding the Fourth Proportional to 9,774.34, 13,488.60 and 5,298.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.34 : 13,488.60 = 5,298.08 : x
2. Step 2: Convert to fraction form
   9,774.34/13,488.60 = 5,298.08/x
3. Step 3: Cross multiply
   9,774.34x = 13,488.60 × 5,298.08
4. Step 4: Simplify right side
   9,774.34x = 71,463,634.31
5. Step 5: Solve for x
   x = 71,463,634.31/9,774.34
6. Step 6: Final answer
   x = 7,311.35