Finding the Fourth Proportional to 10,253.42, 14,151.06 and 5,778.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.42 : 14,151.06 = 5,778.05 : x
2. Step 2: Convert to fraction form
   10,253.42/14,151.06 = 5,778.05/x
3. Step 3: Cross multiply
   10,253.42x = 14,151.06 × 5,778.05
4. Step 4: Simplify right side
   10,253.42x = 81,765,532.23
5. Step 5: Solve for x
   x = 81,765,532.23/10,253.42
6. Step 6: Final answer
   x = 7,974.46