Finding the Fourth Proportional to 1,147.34, 1,583.81 and 774.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.34 : 1,583.81 = 774.82 : x
2. Step 2: Convert to fraction form
   1,147.34/1,583.81 = 774.82/x
3. Step 3: Cross multiply
   1,147.34x = 1,583.81 × 774.82
4. Step 4: Simplify right side
   1,147.34x = 1,227,174.55
5. Step 5: Solve for x
   x = 1,227,174.55/1,147.34
6. Step 6: Final answer
   x = 1,069.58