Finding the Fourth Proportional to 7,814.39, 10,783.86 and 4,229.35

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814.39 : 10,783.86 = 4,229.35 : x
2. Step 2: Convert to fraction form
   7,814.39/10,783.86 = 4,229.35/x
3. Step 3: Cross multiply
   7,814.39x = 10,783.86 × 4,229.35
4. Step 4: Simplify right side
   7,814.39x = 45,608,685.30
5. Step 5: Solve for x
   x = 45,608,685.30/7,814.39
6. Step 6: Final answer
   x = 5,836.50