Finding the Fourth Proportional to 2,109.64, 2,911.58 and 1,584.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.64 : 2,911.58 = 1,584.76 : x
2. Step 2: Convert to fraction form
   2,109.64/2,911.58 = 1,584.76/x
3. Step 3: Cross multiply
   2,109.64x = 2,911.58 × 1,584.76
4. Step 4: Simplify right side
   2,109.64x = 4,614,144.92
5. Step 5: Solve for x
   x = 4,614,144.92/2,109.64
6. Step 6: Final answer
   x = 2,187.18