Finding the Fourth Proportional to 9,762.33, 14,646.89 and 7,096.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.33 : 14,646.89 = 7,096.42 : x
2. Step 2: Convert to fraction form
   9,762.33/14,646.89 = 7,096.42/x
3. Step 3: Cross multiply
   9,762.33x = 14,646.89 × 7,096.42
4. Step 4: Simplify right side
   9,762.33x = 103,940,483.13
5. Step 5: Solve for x
   x = 103,940,483.13/9,762.33
6. Step 6: Final answer
   x = 10,647.10