Finding the Fourth Proportional to 10,362.31, 14,298.89 and 6,958.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.31 : 14,298.89 = 6,958.64 : x
2. Step 2: Convert to fraction form
   10,362.31/14,298.89 = 6,958.64/x
3. Step 3: Cross multiply
   10,362.31x = 14,298.89 × 6,958.64
4. Step 4: Simplify right side
   10,362.31x = 99,500,828.86
5. Step 5: Solve for x
   x = 99,500,828.86/10,362.31
6. Step 6: Final answer
   x = 9,602.19