Finding the Fourth Proportional to 1,277.55, 1,914.72 and 546.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.55 : 1,914.72 = 546.27 : x
2. Step 2: Convert to fraction form
   1,277.55/1,914.72 = 546.27/x
3. Step 3: Cross multiply
   1,277.55x = 1,914.72 × 546.27
4. Step 4: Simplify right side
   1,277.55x = 1,045,954.09
5. Step 5: Solve for x
   x = 1,045,954.09/1,277.55
6. Step 6: Final answer
   x = 818.72