Finding the Fourth Proportional to 10,178.38, 15,266.15 and 2,781.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.38 : 15,266.15 = 2,781.06 : x
2. Step 2: Convert to fraction form
   10,178.38/15,266.15 = 2,781.06/x
3. Step 3: Cross multiply
   10,178.38x = 15,266.15 × 2,781.06
4. Step 4: Simplify right side
   10,178.38x = 42,456,079.12
5. Step 5: Solve for x
   x = 42,456,079.12/10,178.38
6. Step 6: Final answer
   x = 4,171.20