Finding the Fourth Proportional to 2,542.82, 3,813.56 and 899.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.82 : 3,813.56 = 899.16 : x
2. Step 2: Convert to fraction form
   2,542.82/3,813.56 = 899.16/x
3. Step 3: Cross multiply
   2,542.82x = 3,813.56 × 899.16
4. Step 4: Simplify right side
   2,542.82x = 3,429,000.61
5. Step 5: Solve for x
   x = 3,429,000.61/2,542.82
6. Step 6: Final answer
   x = 1,348.50