Finding the Fourth Proportional to 10,292.75, 14,204.01 and 5,577.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.75 : 14,204.01 = 5,577.03 : x
2. Step 2: Convert to fraction form
   10,292.75/14,204.01 = 5,577.03/x
3. Step 3: Cross multiply
   10,292.75x = 14,204.01 × 5,577.03
4. Step 4: Simplify right side
   10,292.75x = 79,216,189.89
5. Step 5: Solve for x
   x = 79,216,189.89/10,292.75
6. Step 6: Final answer
   x = 7,696.31