Finding the Fourth Proportional to 9,714.50, 13,406.01 and 5,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.50 : 13,406.01 = 5,298.50 : x
2. Step 2: Convert to fraction form
   9,714.50/13,406.01 = 5,298.50/x
3. Step 3: Cross multiply
   9,714.50x = 13,406.01 × 5,298.50
4. Step 4: Simplify right side
   9,714.50x = 71,031,743.99
5. Step 5: Solve for x
   x = 71,031,743.99/9,714.50
6. Step 6: Final answer
   x = 7,311.93