Finding the Fourth Proportional to 13,944, 19,242.56 and 7,656.32

Step by Step Solution

1. Step 1: Write the proportion equation
   13,944 : 19,242.56 = 7,656.32 : x
2. Step 2: Convert to fraction form
   13,944/19,242.56 = 7,656.32/x
3. Step 3: Cross multiply
   13,944x = 19,242.56 × 7,656.32
4. Step 4: Simplify right side
   13,944x = 147,327,196.98
5. Step 5: Solve for x
   x = 147,327,196.98/13,944
6. Step 6: Final answer
   x = 10,565.63