Finding the Fourth Proportional to 10,118.37, 13,962.29 and 5,641.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.37 : 13,962.29 = 5,641.28 : x
2. Step 2: Convert to fraction form
   10,118.37/13,962.29 = 5,641.28/x
3. Step 3: Cross multiply
   10,118.37x = 13,962.29 × 5,641.28
4. Step 4: Simplify right side
   10,118.37x = 78,765,089.31
5. Step 5: Solve for x
   x = 78,765,089.31/10,118.37
6. Step 6: Final answer
   x = 7,784.37