Finding the Fourth Proportional to 1,148.84, 1,584.42 and 775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.84 : 1,584.42 = 775.72 : x
2. Step 2: Convert to fraction form
   1,148.84/1,584.42 = 775.72/x
3. Step 3: Cross multiply
   1,148.84x = 1,584.42 × 775.72
4. Step 4: Simplify right side
   1,148.84x = 1,229,066.28
5. Step 5: Solve for x
   x = 1,229,066.28/1,148.84
6. Step 6: Final answer
   x = 1,069.83