Finding the Fourth Proportional to 10,254.35, 14,150.71 and 5,778.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.35 : 14,150.71 = 5,778.09 : x
2. Step 2: Convert to fraction form
   10,254.35/14,150.71 = 5,778.09/x
3. Step 3: Cross multiply
   10,254.35x = 14,150.71 × 5,778.09
4. Step 4: Simplify right side
   10,254.35x = 81,764,083.17
5. Step 5: Solve for x
   x = 81,764,083.17/10,254.35
6. Step 6: Final answer
   x = 7,973.60