Finding the Fourth Proportional to 3,180.35, 4,773.59 and 1,538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,180.35 : 4,773.59 = 1,538.05 : x
2. Step 2: Convert to fraction form
   3,180.35/4,773.59 = 1,538.05/x
3. Step 3: Cross multiply
   3,180.35x = 4,773.59 × 1,538.05
4. Step 4: Simplify right side
   3,180.35x = 7,342,020.10
5. Step 5: Solve for x
   x = 7,342,020.10/3,180.35
6. Step 6: Final answer
   x = 2,308.56