Finding the Fourth Proportional to 10,059.34, 13,881.68 and 5,582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.34 : 13,881.68 = 5,582.82 : x
2. Step 2: Convert to fraction form
   10,059.34/13,881.68 = 5,582.82/x
3. Step 3: Cross multiply
   10,059.34x = 13,881.68 × 5,582.82
4. Step 4: Simplify right side
   10,059.34x = 77,498,965.82
5. Step 5: Solve for x
   x = 77,498,965.82/10,059.34
6. Step 6: Final answer
   x = 7,704.18