Finding the Fourth Proportional to 2,189.16, 3,280.08 and 1,538.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.16 : 3,280.08 = 1,538.73 : x
2. Step 2: Convert to fraction form
   2,189.16/3,280.08 = 1,538.73/x
3. Step 3: Cross multiply
   2,189.16x = 3,280.08 × 1,538.73
4. Step 4: Simplify right side
   2,189.16x = 5,047,141.10
5. Step 5: Solve for x
   x = 5,047,141.10/2,189.16
6. Step 6: Final answer
   x = 2,305.52