Finding the Fourth Proportional to 2,106.79, 3,157.72 and 1,585.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.79 : 3,157.72 = 1,585.11 : x
2. Step 2: Convert to fraction form
   2,106.79/3,157.72 = 1,585.11/x
3. Step 3: Cross multiply
   2,106.79x = 3,157.72 × 1,585.11
4. Step 4: Simplify right side
   2,106.79x = 5,005,344.40
5. Step 5: Solve for x
   x = 5,005,344.40/2,106.79
6. Step 6: Final answer
   x = 2,375.82