Finding the Fourth Proportional to 5,055.82, 7,569.74 and 2,585.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,055.82 : 7,569.74 = 2,585.32 : x
2. Step 2: Convert to fraction form
   5,055.82/7,569.74 = 2,585.32/x
3. Step 3: Cross multiply
   5,055.82x = 7,569.74 × 2,585.32
4. Step 4: Simplify right side
   5,055.82x = 19,570,200.22
5. Step 5: Solve for x
   x = 19,570,200.22/5,055.82
6. Step 6: Final answer
   x = 3,870.83