Finding the Fourth Proportional to 2,109.51, 2,911.41 and 1,584.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.51 : 2,911.41 = 1,584.63 : x
2. Step 2: Convert to fraction form
   2,109.51/2,911.41 = 1,584.63/x
3. Step 3: Cross multiply
   2,109.51x = 2,911.41 × 1,584.63
4. Step 4: Simplify right side
   2,109.51x = 4,613,507.63
5. Step 5: Solve for x
   x = 4,613,507.63/2,109.51
6. Step 6: Final answer
   x = 2,187.00