Finding the Fourth Proportional to 2,516.64, 3,767.06 and 1,589

Step by Step Solution

1. Step 1: Write the proportion equation
   2,516.64 : 3,767.06 = 1,589 : x
2. Step 2: Convert to fraction form
   2,516.64/3,767.06 = 1,589/x
3. Step 3: Cross multiply
   2,516.64x = 3,767.06 × 1,589
4. Step 4: Simplify right side
   2,516.64x = 5,985,858.34
5. Step 5: Solve for x
   x = 5,985,858.34/2,516.64
6. Step 6: Final answer
   x = 2,378.51