Finding the Fourth Proportional to 10,058, 13,880.04 and 5,642

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058 : 13,880.04 = 5,642 : x
2. Step 2: Convert to fraction form
   10,058/13,880.04 = 5,642/x
3. Step 3: Cross multiply
   10,058x = 13,880.04 × 5,642
4. Step 4: Simplify right side
   10,058x = 78,311,185.68
5. Step 5: Solve for x
   x = 78,311,185.68/10,058
6. Step 6: Final answer
   x = 7,785.96