Finding the Fourth Proportional to 10,118.06, 13,963.04 and 5,642.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.06 : 13,963.04 = 5,642.20 : x
2. Step 2: Convert to fraction form
   10,118.06/13,963.04 = 5,642.20/x
3. Step 3: Cross multiply
   10,118.06x = 13,963.04 × 5,642.20
4. Step 4: Simplify right side
   10,118.06x = 78,782,264.29
5. Step 5: Solve for x
   x = 78,782,264.29/10,118.06
6. Step 6: Final answer
   x = 7,786.30