Finding the Fourth Proportional to 12,799.69, 17,658.50 and 7,762.07

Step by Step Solution

1. Step 1: Write the proportion equation
   12,799.69 : 17,658.50 = 7,762.07 : x
2. Step 2: Convert to fraction form
   12,799.69/17,658.50 = 7,762.07/x
3. Step 3: Cross multiply
   12,799.69x = 17,658.50 × 7,762.07
4. Step 4: Simplify right side
   12,799.69x = 137,066,474.28
5. Step 5: Solve for x
   x = 137,066,474.28/12,799.69
6. Step 6: Final answer
   x = 10,708.58