Finding the Fourth Proportional to 10,172.09, 14,037.46 and 5,695.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.09 : 14,037.46 = 5,695.84 : x
2. Step 2: Convert to fraction form
   10,172.09/14,037.46 = 5,695.84/x
3. Step 3: Cross multiply
   10,172.09x = 14,037.46 × 5,695.84
4. Step 4: Simplify right side
   10,172.09x = 79,955,126.17
5. Step 5: Solve for x
   x = 79,955,126.17/10,172.09
6. Step 6: Final answer
   x = 7,860.25