Finding the Fourth Proportional to 1,527.53, 2,290.25 and 705.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.53 : 2,290.25 = 705.34 : x
2. Step 2: Convert to fraction form
   1,527.53/2,290.25 = 705.34/x
3. Step 3: Cross multiply
   1,527.53x = 2,290.25 × 705.34
4. Step 4: Simplify right side
   1,527.53x = 1,615,401.41
5. Step 5: Solve for x
   x = 1,615,401.41/1,527.53
6. Step 6: Final answer
   x = 1,057.53