Finding the Fourth Proportional to 9,742.72, 14,620.16 and 3,824.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.72 : 14,620.16 = 3,824.64 : x
2. Step 2: Convert to fraction form
   9,742.72/14,620.16 = 3,824.64/x
3. Step 3: Cross multiply
   9,742.72x = 14,620.16 × 3,824.64
4. Step 4: Simplify right side
   9,742.72x = 55,916,848.74
5. Step 5: Solve for x
   x = 55,916,848.74/9,742.72
6. Step 6: Final answer
   x = 5,739.35