Finding the Fourth Proportional to 9,458.16, 14,180.96 and 5,298.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,458.16 : 14,180.96 = 5,298.56 : x
2. Step 2: Convert to fraction form
   9,458.16/14,180.96 = 5,298.56/x
3. Step 3: Cross multiply
   9,458.16x = 14,180.96 × 5,298.56
4. Step 4: Simplify right side
   9,458.16x = 75,138,667.42
5. Step 5: Solve for x
   x = 75,138,667.42/9,458.16
6. Step 6: Final answer
   x = 7,944.32