Finding the Fourth Proportional to 10,172.54, 14,038.61 and 5,696.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.54 : 14,038.61 = 5,696.00 : x
2. Step 2: Convert to fraction form
   10,172.54/14,038.61 = 5,696.00/x
3. Step 3: Cross multiply
   10,172.54x = 14,038.61 × 5,696.00
4. Step 4: Simplify right side
   10,172.54x = 79,963,929.18
5. Step 5: Solve for x
   x = 79,963,929.18/10,172.54
6. Step 6: Final answer
   x = 7,860.77