Finding the Fourth Proportional to 9,946.10, 13,724.93 and 5,696.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.10 : 13,724.93 = 5,696.63 : x
2. Step 2: Convert to fraction form
   9,946.10/13,724.93 = 5,696.63/x
3. Step 3: Cross multiply
   9,946.10x = 13,724.93 × 5,696.63
4. Step 4: Simplify right side
   9,946.10x = 78,185,750.88
5. Step 5: Solve for x
   x = 78,185,750.88/9,946.10
6. Step 6: Final answer
   x = 7,860.95