Finding the Fourth Proportional to 10,619.14, 14,653.29 and 6,142.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,619.14 : 14,653.29 = 6,142.18 : x
2. Step 2: Convert to fraction form
   10,619.14/14,653.29 = 6,142.18/x
3. Step 3: Cross multiply
   10,619.14x = 14,653.29 × 6,142.18
4. Step 4: Simplify right side
   10,619.14x = 90,003,144.77
5. Step 5: Solve for x
   x = 90,003,144.77/10,619.14
6. Step 6: Final answer
   x = 8,475.56