Finding the Fourth Proportional to 2,045.82, 3,069.29 and 585.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.82 : 3,069.29 = 585.12 : x
2. Step 2: Convert to fraction form
   2,045.82/3,069.29 = 585.12/x
3. Step 3: Cross multiply
   2,045.82x = 3,069.29 × 585.12
4. Step 4: Simplify right side
   2,045.82x = 1,795,900.04
5. Step 5: Solve for x
   x = 1,795,900.04/2,045.82
6. Step 6: Final answer
   x = 877.84