Finding the Fourth Proportional to 1,582.83, 2,185.23 and 1,407.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.83 : 2,185.23 = 1,407.67 : x
2. Step 2: Convert to fraction form
   1,582.83/2,185.23 = 1,407.67/x
3. Step 3: Cross multiply
   1,582.83x = 2,185.23 × 1,407.67
4. Step 4: Simplify right side
   1,582.83x = 3,076,082.71
5. Step 5: Solve for x
   x = 3,076,082.71/1,582.83
6. Step 6: Final answer
   x = 1,943.41