Finding the Fourth Proportional to 9,490.14, 13,096.38 and 5,298.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,490.14 : 13,096.38 = 5,298.38 : x
2. Step 2: Convert to fraction form
   9,490.14/13,096.38 = 5,298.38/x
3. Step 3: Cross multiply
   9,490.14x = 13,096.38 × 5,298.38
4. Step 4: Simplify right side
   9,490.14x = 69,389,597.86
5. Step 5: Solve for x
   x = 69,389,597.86/9,490.14
6. Step 6: Final answer
   x = 7,311.76