Finding the Fourth Proportional to 2,045.98, 3,069.38 and 585.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.98 : 3,069.38 = 585.15 : x
2. Step 2: Convert to fraction form
   2,045.98/3,069.38 = 585.15/x
3. Step 3: Cross multiply
   2,045.98x = 3,069.38 × 585.15
4. Step 4: Simplify right side
   2,045.98x = 1,796,047.71
5. Step 5: Solve for x
   x = 1,796,047.71/2,045.98
6. Step 6: Final answer
   x = 877.84