Finding the Fourth Proportional to 3,706.89, 5,106.72 and 2,585.79

Step by Step Solution

1. Step 1: Write the proportion equation
   3,706.89 : 5,106.72 = 2,585.79 : x
2. Step 2: Convert to fraction form
   3,706.89/5,106.72 = 2,585.79/x
3. Step 3: Cross multiply
   3,706.89x = 5,106.72 × 2,585.79
4. Step 4: Simplify right side
   3,706.89x = 13,204,905.51
5. Step 5: Solve for x
   x = 13,204,905.51/3,706.89
6. Step 6: Final answer
   x = 3,562.26