Finding the Fourth Proportional to 2,085.24, 2,877.53 and 1,140.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.24 : 2,877.53 = 1,140.99 : x
2. Step 2: Convert to fraction form
   2,085.24/2,877.53 = 1,140.99/x
3. Step 3: Cross multiply
   2,085.24x = 2,877.53 × 1,140.99
4. Step 4: Simplify right side
   2,085.24x = 3,283,216.46
5. Step 5: Solve for x
   x = 3,283,216.46/2,085.24
6. Step 6: Final answer
   x = 1,574.50