Finding the Fourth Proportional to 10,194.78, 15,290.82 and 4,642.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194.78 : 15,290.82 = 4,642.14 : x
2. Step 2: Convert to fraction form
   10,194.78/15,290.82 = 4,642.14/x
3. Step 3: Cross multiply
   10,194.78x = 15,290.82 × 4,642.14
4. Step 4: Simplify right side
   10,194.78x = 70,982,127.15
5. Step 5: Solve for x
   x = 70,982,127.15/10,194.78
6. Step 6: Final answer
   x = 6,962.60