Finding the Fourth Proportional to 3,782.02, 5,647.53 and 3,090.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.02 : 5,647.53 = 3,090.05 : x
2. Step 2: Convert to fraction form
   3,782.02/5,647.53 = 3,090.05/x
3. Step 3: Cross multiply
   3,782.02x = 5,647.53 × 3,090.05
4. Step 4: Simplify right side
   3,782.02x = 17,451,164.20
5. Step 5: Solve for x
   x = 17,451,164.20/3,782.02
6. Step 6: Final answer
   x = 4,614.25