Finding the Fourth Proportional to 1,255.34, 1,731.30 and 1,022.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.34 : 1,731.30 = 1,022.06 : x
2. Step 2: Convert to fraction form
   1,255.34/1,731.30 = 1,022.06/x
3. Step 3: Cross multiply
   1,255.34x = 1,731.30 × 1,022.06
4. Step 4: Simplify right side
   1,255.34x = 1,769,492.48
5. Step 5: Solve for x
   x = 1,769,492.48/1,255.34
6. Step 6: Final answer
   x = 1,409.57