Finding the Fourth Proportional to 13,883.82, 19,159.68 and 7,596.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,883.82 : 19,159.68 = 7,596.20 : x
2. Step 2: Convert to fraction form
   13,883.82/19,159.68 = 7,596.20/x
3. Step 3: Cross multiply
   13,883.82x = 19,159.68 × 7,596.20
4. Step 4: Simplify right side
   13,883.82x = 145,540,665.42
5. Step 5: Solve for x
   x = 145,540,665.42/13,883.82
6. Step 6: Final answer
   x = 10,482.75