Finding the Fourth Proportional to 1,527.65, 2,290.15 and 705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.65 : 2,290.15 = 705.50 : x
2. Step 2: Convert to fraction form
   1,527.65/2,290.15 = 705.50/x
3. Step 3: Cross multiply
   1,527.65x = 2,290.15 × 705.50
4. Step 4: Simplify right side
   1,527.65x = 1,615,700.83
5. Step 5: Solve for x
   x = 1,615,700.83/1,527.65
6. Step 6: Final answer
   x = 1,057.64