Finding the Fourth Proportional to 10,059.72, 13,882.64 and 5,583.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.72 : 13,882.64 = 5,583.53 : x
2. Step 2: Convert to fraction form
   10,059.72/13,882.64 = 5,583.53/x
3. Step 3: Cross multiply
   10,059.72x = 13,882.64 × 5,583.53
4. Step 4: Simplify right side
   10,059.72x = 77,514,067.51
5. Step 5: Solve for x
   x = 77,514,067.51/10,059.72
6. Step 6: Final answer
   x = 7,705.39