Finding the Fourth Proportional to 1,820.58, 2,514.69 and 1,584.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.58 : 2,514.69 = 1,584.06 : x
2. Step 2: Convert to fraction form
   1,820.58/2,514.69 = 1,584.06/x
3. Step 3: Cross multiply
   1,820.58x = 2,514.69 × 1,584.06
4. Step 4: Simplify right side
   1,820.58x = 3,983,419.84
5. Step 5: Solve for x
   x = 3,983,419.84/1,820.58
6. Step 6: Final answer
   x = 2,187.99