Finding the Fourth Proportional to 1,077.78, 1,616.33 and 714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.78 : 1,616.33 = 714.50 : x
2. Step 2: Convert to fraction form
   1,077.78/1,616.33 = 714.50/x
3. Step 3: Cross multiply
   1,077.78x = 1,616.33 × 714.50
4. Step 4: Simplify right side
   1,077.78x = 1,154,861.49
5. Step 5: Solve for x
   x = 1,154,861.49/1,077.78
6. Step 6: Final answer
   x = 1,071.52