Finding the Fourth Proportional to 1,582.72, 2,185.18 and 1,416.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.72 : 2,185.18 = 1,416.65 : x
2. Step 2: Convert to fraction form
   1,582.72/2,185.18 = 1,416.65/x
3. Step 3: Cross multiply
   1,582.72x = 2,185.18 × 1,416.65
4. Step 4: Simplify right side
   1,582.72x = 3,095,620.78
5. Step 5: Solve for x
   x = 3,095,620.78/1,582.72
6. Step 6: Final answer
   x = 1,955.89