Finding the Fourth Proportional to 2,634.32, 3,634.64 and 1,586.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634.32 : 3,634.64 = 1,586.72 : x
2. Step 2: Convert to fraction form
   2,634.32/3,634.64 = 1,586.72/x
3. Step 3: Cross multiply
   2,634.32x = 3,634.64 × 1,586.72
4. Step 4: Simplify right side
   2,634.32x = 5,767,155.98
5. Step 5: Solve for x
   x = 5,767,155.98/2,634.32
6. Step 6: Final answer
   x = 2,189.24