Finding the Fourth Proportional to 10,256.09, 14,153.30 and 5,781.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.09 : 14,153.30 = 5,781.27 : x
2. Step 2: Convert to fraction form
   10,256.09/14,153.30 = 5,781.27/x
3. Step 3: Cross multiply
   10,256.09x = 14,153.30 × 5,781.27
4. Step 4: Simplify right side
   10,256.09x = 81,824,094.54
5. Step 5: Solve for x
   x = 81,824,094.54/10,256.09
6. Step 6: Final answer
   x = 7,978.10