Finding the Fourth Proportional to 1,527.48, 2,290.38 and 705.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.48 : 2,290.38 = 705.30 : x
2. Step 2: Convert to fraction form
   1,527.48/2,290.38 = 705.30/x
3. Step 3: Cross multiply
   1,527.48x = 2,290.38 × 705.30
4. Step 4: Simplify right side
   1,527.48x = 1,615,405.01
5. Step 5: Solve for x
   x = 1,615,405.01/1,527.48
6. Step 6: Final answer
   x = 1,057.56