Finding the Fourth Proportional to 1,152.34, 1,730.31 and 1,022.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.34 : 1,730.31 = 1,022.74 : x
2. Step 2: Convert to fraction form
   1,152.34/1,730.31 = 1,022.74/x
3. Step 3: Cross multiply
   1,152.34x = 1,730.31 × 1,022.74
4. Step 4: Simplify right side
   1,152.34x = 1,769,657.25
5. Step 5: Solve for x
   x = 1,769,657.25/1,152.34
6. Step 6: Final answer
   x = 1,535.71