Finding the Fourth Proportional to 10,058.63, 13,880.24 and 5,582.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058.63 : 13,880.24 = 5,582.10 : x
2. Step 2: Convert to fraction form
   10,058.63/13,880.24 = 5,582.10/x
3. Step 3: Cross multiply
   10,058.63x = 13,880.24 × 5,582.10
4. Step 4: Simplify right side
   10,058.63x = 77,480,887.70
5. Step 5: Solve for x
   x = 77,480,887.70/10,058.63
6. Step 6: Final answer
   x = 7,702.93