Finding the Fourth Proportional to 1,148.96, 1,584.72 and 775.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.96 : 1,584.72 = 775.76 : x
2. Step 2: Convert to fraction form
   1,148.96/1,584.72 = 775.76/x
3. Step 3: Cross multiply
   1,148.96x = 1,584.72 × 775.76
4. Step 4: Simplify right side
   1,148.96x = 1,229,362.39
5. Step 5: Solve for x
   x = 1,229,362.39/1,148.96
6. Step 6: Final answer
   x = 1,069.98