Finding the Fourth Proportional to 1,100.04, 1,647.85 and 514.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.04 : 1,647.85 = 514.23 : x
2. Step 2: Convert to fraction form
   1,100.04/1,647.85 = 514.23/x
3. Step 3: Cross multiply
   1,100.04x = 1,647.85 × 514.23
4. Step 4: Simplify right side
   1,100.04x = 847,373.91
5. Step 5: Solve for x
   x = 847,373.91/1,100.04
6. Step 6: Final answer
   x = 770.31