Finding the Fourth Proportional to 9,642.42, 14,457.38 and 6,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.42 : 14,457.38 = 6,345.50 : x
2. Step 2: Convert to fraction form
   9,642.42/14,457.38 = 6,345.50/x
3. Step 3: Cross multiply
   9,642.42x = 14,457.38 × 6,345.50
4. Step 4: Simplify right side
   9,642.42x = 91,739,200.78
5. Step 5: Solve for x
   x = 91,739,200.78/9,642.42
6. Step 6: Final answer
   x = 9,514.13