Finding the Fourth Proportional to 10,256.36, 14,150.85 and 5,778.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.36 : 14,150.85 = 5,778.55 : x
2. Step 2: Convert to fraction form
   10,256.36/14,150.85 = 5,778.55/x
3. Step 3: Cross multiply
   10,256.36x = 14,150.85 × 5,778.55
4. Step 4: Simplify right side
   10,256.36x = 81,771,394.27
5. Step 5: Solve for x
   x = 81,771,394.27/10,256.36
6. Step 6: Final answer
   x = 7,972.75