Finding the Fourth Proportional to 13,742.09, 18,963 and 8,077.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,742.09 : 18,963 = 8,077.05 : x
2. Step 2: Convert to fraction form
   13,742.09/18,963 = 8,077.05/x
3. Step 3: Cross multiply
   13,742.09x = 18,963 × 8,077.05
4. Step 4: Simplify right side
   13,742.09x = 153,165,099.15
5. Step 5: Solve for x
   x = 153,165,099.15/13,742.09
6. Step 6: Final answer
   x = 11,145.69