Finding the Fourth Proportional to 10,292.99, 14,204.33 and 5,577.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.99 : 14,204.33 = 5,577.27 : x
2. Step 2: Convert to fraction form
   10,292.99/14,204.33 = 5,577.27/x
3. Step 3: Cross multiply
   10,292.99x = 14,204.33 × 5,577.27
4. Step 4: Simplify right side
   10,292.99x = 79,221,383.58
5. Step 5: Solve for x
   x = 79,221,383.58/10,292.99
6. Step 6: Final answer
   x = 7,696.63