Finding the Fourth Proportional to 2,045.88, 3,069.33 and 585.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.88 : 3,069.33 = 585.05 : x
2. Step 2: Convert to fraction form
   2,045.88/3,069.33 = 585.05/x
3. Step 3: Cross multiply
   2,045.88x = 3,069.33 × 585.05
4. Step 4: Simplify right side
   2,045.88x = 1,795,711.52
5. Step 5: Solve for x
   x = 1,795,711.52/2,045.88
6. Step 6: Final answer
   x = 877.72