Finding the Fourth Proportional to 2,092.16, 3,143.63 and 1,577.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.16 : 3,143.63 = 1,577.02 : x
2. Step 2: Convert to fraction form
   2,092.16/3,143.63 = 1,577.02/x
3. Step 3: Cross multiply
   2,092.16x = 3,143.63 × 1,577.02
4. Step 4: Simplify right side
   2,092.16x = 4,957,567.38
5. Step 5: Solve for x
   x = 4,957,567.38/2,092.16
6. Step 6: Final answer
   x = 2,369.59