Finding the Fourth Proportional to 1,583.67, 2,186.61 and 1,024.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.67 : 2,186.61 = 1,024.46 : x
2. Step 2: Convert to fraction form
   1,583.67/2,186.61 = 1,024.46/x
3. Step 3: Cross multiply
   1,583.67x = 2,186.61 × 1,024.46
4. Step 4: Simplify right side
   1,583.67x = 2,240,094.48
5. Step 5: Solve for x
   x = 2,240,094.48/1,583.67
6. Step 6: Final answer
   x = 1,414.50