Finding the Fourth Proportional to 10,057.86, 13,880.72 and 5,582.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.86 : 13,880.72 = 5,582.48 : x
2. Step 2: Convert to fraction form
   10,057.86/13,880.72 = 5,582.48/x
3. Step 3: Cross multiply
   10,057.86x = 13,880.72 × 5,582.48
4. Step 4: Simplify right side
   10,057.86x = 77,488,838.39
5. Step 5: Solve for x
   x = 77,488,838.39/10,057.86
6. Step 6: Final answer
   x = 7,704.30