Finding the Fourth Proportional to 10,172.98, 14,038.33 and 5,696.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.98 : 14,038.33 = 5,696.51 : x
2. Step 2: Convert to fraction form
   10,172.98/14,038.33 = 5,696.51/x
3. Step 3: Cross multiply
   10,172.98x = 14,038.33 × 5,696.51
4. Step 4: Simplify right side
   10,172.98x = 79,969,487.23
5. Step 5: Solve for x
   x = 79,969,487.23/10,172.98
6. Step 6: Final answer
   x = 7,860.97