Finding the Fourth Proportional to 1,557.83, 2,149.81 and 849.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.83 : 2,149.81 = 849.69 : x
2. Step 2: Convert to fraction form
   1,557.83/2,149.81 = 849.69/x
3. Step 3: Cross multiply
   1,557.83x = 2,149.81 × 849.69
4. Step 4: Simplify right side
   1,557.83x = 1,826,669.93
5. Step 5: Solve for x
   x = 1,826,669.93/1,557.83
6. Step 6: Final answer
   x = 1,172.57