Finding the Fourth Proportional to 10,172.79, 14,038.18 and 5,635.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.79 : 14,038.18 = 5,635.24 : x
2. Step 2: Convert to fraction form
   10,172.79/14,038.18 = 5,635.24/x
3. Step 3: Cross multiply
   10,172.79x = 14,038.18 × 5,635.24
4. Step 4: Simplify right side
   10,172.79x = 79,108,464.28
5. Step 5: Solve for x
   x = 79,108,464.28/10,172.79
6. Step 6: Final answer
   x = 7,776.48