Finding the Fourth Proportional to 10,714.68, 16,076.63 and 5,783.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,714.68 : 16,076.63 = 5,783.34 : x
2. Step 2: Convert to fraction form
   10,714.68/16,076.63 = 5,783.34/x
3. Step 3: Cross multiply
   10,714.68x = 16,076.63 × 5,783.34
4. Step 4: Simplify right side
   10,714.68x = 92,976,617.34
5. Step 5: Solve for x
   x = 92,976,617.34/10,714.68
6. Step 6: Final answer
   x = 8,677.50