Finding the Fourth Proportional to 9,946, 13,722.12 and 5,752.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946 : 13,722.12 = 5,752.72 : x
2. Step 2: Convert to fraction form
   9,946/13,722.12 = 5,752.72/x
3. Step 3: Cross multiply
   9,946x = 13,722.12 × 5,752.72
4. Step 4: Simplify right side
   9,946x = 78,939,514.17
5. Step 5: Solve for x
   x = 78,939,514.17/9,946
6. Step 6: Final answer
   x = 7,936.81