Finding the Fourth Proportional to 10,118.15, 13,962.32 and 5,642.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.15 : 13,962.32 = 5,642.14 : x
2. Step 2: Convert to fraction form
   10,118.15/13,962.32 = 5,642.14/x
3. Step 3: Cross multiply
   10,118.15x = 13,962.32 × 5,642.14
4. Step 4: Simplify right side
   10,118.15x = 78,777,294.35
5. Step 5: Solve for x
   x = 78,777,294.35/10,118.15
6. Step 6: Final answer
   x = 7,785.74