Finding the Fourth Proportional to 2,471.32, 3,407.82 and 1,538.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.32 : 3,407.82 = 1,538.20 : x
2. Step 2: Convert to fraction form
   2,471.32/3,407.82 = 1,538.20/x
3. Step 3: Cross multiply
   2,471.32x = 3,407.82 × 1,538.20
4. Step 4: Simplify right side
   2,471.32x = 5,241,908.72
5. Step 5: Solve for x
   x = 5,241,908.72/2,471.32
6. Step 6: Final answer
   x = 2,121.10