Finding the Fourth Proportional to 9,546.59, 13,174.27 and 5,298.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.59 : 13,174.27 = 5,298.30 : x
2. Step 2: Convert to fraction form
   9,546.59/13,174.27 = 5,298.30/x
3. Step 3: Cross multiply
   9,546.59x = 13,174.27 × 5,298.30
4. Step 4: Simplify right side
   9,546.59x = 69,801,221.50
5. Step 5: Solve for x
   x = 69,801,221.50/9,546.59
6. Step 6: Final answer
   x = 7,311.64