Finding the Fourth Proportional to 10,058.83, 13,880.77 and 5,582.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058.83 : 13,880.77 = 5,582.77 : x
2. Step 2: Convert to fraction form
   10,058.83/13,880.77 = 5,582.77/x
3. Step 3: Cross multiply
   10,058.83x = 13,880.77 × 5,582.77
4. Step 4: Simplify right side
   10,058.83x = 77,493,146.33
5. Step 5: Solve for x
   x = 77,493,146.33/10,058.83
6. Step 6: Final answer
   x = 7,703.99