Finding the Fourth Proportional to 1,538.32, 2,296.28 and 1,343.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.32 : 2,296.28 = 1,343.92 : x
2. Step 2: Convert to fraction form
   1,538.32/2,296.28 = 1,343.92/x
3. Step 3: Cross multiply
   1,538.32x = 2,296.28 × 1,343.92
4. Step 4: Simplify right side
   1,538.32x = 3,086,016.62
5. Step 5: Solve for x
   x = 3,086,016.62/1,538.32
6. Step 6: Final answer
   x = 2,006.10