Finding the Fourth Proportional to 2,538.09, 3,808.98 and 1,564.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.09 : 3,808.98 = 1,564.89 : x
2. Step 2: Convert to fraction form
   2,538.09/3,808.98 = 1,564.89/x
3. Step 3: Cross multiply
   2,538.09x = 3,808.98 × 1,564.89
4. Step 4: Simplify right side
   2,538.09x = 5,960,634.71
5. Step 5: Solve for x
   x = 5,960,634.71/2,538.09
6. Step 6: Final answer
   x = 2,348.47