Finding the Fourth Proportional to 1,527.99, 2,290.74 and 706.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.99 : 2,290.74 = 706.78 : x
2. Step 2: Convert to fraction form
   1,527.99/2,290.74 = 706.78/x
3. Step 3: Cross multiply
   1,527.99x = 2,290.74 × 706.78
4. Step 4: Simplify right side
   1,527.99x = 1,619,049.22
5. Step 5: Solve for x
   x = 1,619,049.22/1,527.99
6. Step 6: Final answer
   x = 1,059.59