Finding the Fourth Proportional to 10,253.82, 14,150.12 and 5,778.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.82 : 14,150.12 = 5,778.02 : x
2. Step 2: Convert to fraction form
   10,253.82/14,150.12 = 5,778.02/x
3. Step 3: Cross multiply
   10,253.82x = 14,150.12 × 5,778.02
4. Step 4: Simplify right side
   10,253.82x = 81,759,676.36
5. Step 5: Solve for x
   x = 81,759,676.36/10,253.82
6. Step 6: Final answer
   x = 7,973.58