Finding the Fourth Proportional to 2,061.50, 2,844.89 and 1,165.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.50 : 2,844.89 = 1,165.20 : x
2. Step 2: Convert to fraction form
   2,061.50/2,844.89 = 1,165.20/x
3. Step 3: Cross multiply
   2,061.50x = 2,844.89 × 1,165.20
4. Step 4: Simplify right side
   2,061.50x = 3,314,881.85
5. Step 5: Solve for x
   x = 3,314,881.85/2,061.50
6. Step 6: Final answer
   x = 1,607.99