Finding the Fourth Proportional to 1,583.56, 2,185.92 and 1,417.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.56 : 2,185.92 = 1,417.48 : x
2. Step 2: Convert to fraction form
   1,583.56/2,185.92 = 1,417.48/x
3. Step 3: Cross multiply
   1,583.56x = 2,185.92 × 1,417.48
4. Step 4: Simplify right side
   1,583.56x = 3,098,492.42
5. Step 5: Solve for x
   x = 3,098,492.42/1,583.56
6. Step 6: Final answer
   x = 1,956.66