Finding the Fourth Proportional to 10,058.31, 13,881.51 and 5,582.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058.31 : 13,881.51 = 5,582.09 : x
2. Step 2: Convert to fraction form
   10,058.31/13,881.51 = 5,582.09/x
3. Step 3: Cross multiply
   10,058.31x = 13,881.51 × 5,582.09
4. Step 4: Simplify right side
   10,058.31x = 77,487,872.86
5. Step 5: Solve for x
   x = 77,487,872.86/10,058.31
6. Step 6: Final answer
   x = 7,703.87