Finding the Fourth Proportional to 10,377.86, 14,321.44 and 5,662.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.86 : 14,321.44 = 5,662.14 : x
2. Step 2: Convert to fraction form
   10,377.86/14,321.44 = 5,662.14/x
3. Step 3: Cross multiply
   10,377.86x = 14,321.44 × 5,662.14
4. Step 4: Simplify right side
   10,377.86x = 81,089,998.28
5. Step 5: Solve for x
   x = 81,089,998.28/10,377.86
6. Step 6: Final answer
   x = 7,813.75