Finding the Fourth Proportional to 9,946.06, 13,724.04 and 5,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.06 : 13,724.04 = 5,753.50 : x
2. Step 2: Convert to fraction form
   9,946.06/13,724.04 = 5,753.50/x
3. Step 3: Cross multiply
   9,946.06x = 13,724.04 × 5,753.50
4. Step 4: Simplify right side
   9,946.06x = 78,961,264.14
5. Step 5: Solve for x
   x = 78,961,264.14/9,946.06
6. Step 6: Final answer
   x = 7,938.95