Finding the Fourth Proportional to 9,802.67, 13,514.49 and 7,669.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.67 : 13,514.49 = 7,669.94 : x
2. Step 2: Convert to fraction form
   9,802.67/13,514.49 = 7,669.94/x
3. Step 3: Cross multiply
   9,802.67x = 13,514.49 × 7,669.94
4. Step 4: Simplify right side
   9,802.67x = 103,655,259.86
5. Step 5: Solve for x
   x = 103,655,259.86/9,802.67
6. Step 6: Final answer
   x = 10,574.19