Finding the Fourth Proportional to 7,814.41, 10,783.89 and 4,277.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814.41 : 10,783.89 = 4,277.62 : x
2. Step 2: Convert to fraction form
   7,814.41/10,783.89 = 4,277.62/x
3. Step 3: Cross multiply
   7,814.41x = 10,783.89 × 4,277.62
4. Step 4: Simplify right side
   7,814.41x = 46,129,383.54
5. Step 5: Solve for x
   x = 46,129,383.54/7,814.41
6. Step 6: Final answer
   x = 5,903.12