Finding the Fourth Proportional to 5,055.81, 7,569.74 and 2,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,055.81 : 7,569.74 = 2,585.31 : x
2. Step 2: Convert to fraction form
   5,055.81/7,569.74 = 2,585.31/x
3. Step 3: Cross multiply
   5,055.81x = 7,569.74 × 2,585.31
4. Step 4: Simplify right side
   5,055.81x = 19,570,111.59
5. Step 5: Solve for x
   x = 19,570,111.59/5,055.81
6. Step 6: Final answer
   x = 3,870.82