Finding the Fourth Proportional to 2,089.61, 2,883.62 and 1,145.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.61 : 2,883.62 = 1,145.38 : x
2. Step 2: Convert to fraction form
   2,089.61/2,883.62 = 1,145.38/x
3. Step 3: Cross multiply
   2,089.61x = 2,883.62 × 1,145.38
4. Step 4: Simplify right side
   2,089.61x = 3,302,826.26
5. Step 5: Solve for x
   x = 3,302,826.26/2,089.61
6. Step 6: Final answer
   x = 1,580.59