Finding the Fourth Proportional to 10,254.60, 14,151.42 and 5,778.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.60 : 14,151.42 = 5,778.18 : x
2. Step 2: Convert to fraction form
   10,254.60/14,151.42 = 5,778.18/x
3. Step 3: Cross multiply
   10,254.60x = 14,151.42 × 5,778.18
4. Step 4: Simplify right side
   10,254.60x = 81,769,452.02
5. Step 5: Solve for x
   x = 81,769,452.02/10,254.60
6. Step 6: Final answer
   x = 7,973.93