Finding the Fourth Proportional to 1,582.72, 2,184.27 and 1,164.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.72 : 2,184.27 = 1,164.98 : x
2. Step 2: Convert to fraction form
   1,582.72/2,184.27 = 1,164.98/x
3. Step 3: Cross multiply
   1,582.72x = 2,184.27 × 1,164.98
4. Step 4: Simplify right side
   1,582.72x = 2,544,631.96
5. Step 5: Solve for x
   x = 2,544,631.96/1,582.72
6. Step 6: Final answer
   x = 1,607.76