Finding the Fourth Proportional to 2,538.81, 3,808.20 and 1,926.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.81 : 3,808.20 = 1,926.28 : x
2. Step 2: Convert to fraction form
   2,538.81/3,808.20 = 1,926.28/x
3. Step 3: Cross multiply
   2,538.81x = 3,808.20 × 1,926.28
4. Step 4: Simplify right side
   2,538.81x = 7,335,659.50
5. Step 5: Solve for x
   x = 7,335,659.50/2,538.81
6. Step 6: Final answer
   x = 2,889.41