Finding the Fourth Proportional to 6,814.63, 9,404.96 and 3,790.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.63 : 9,404.96 = 3,790.05 : x
2. Step 2: Convert to fraction form
   6,814.63/9,404.96 = 3,790.05/x
3. Step 3: Cross multiply
   6,814.63x = 9,404.96 × 3,790.05
4. Step 4: Simplify right side
   6,814.63x = 35,645,268.65
5. Step 5: Solve for x
   x = 35,645,268.65/6,814.63
6. Step 6: Final answer
   x = 5,230.70