Finding the Fourth Proportional to 1,407.12, 1,941.67 and 777.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.12 : 1,941.67 = 777.49 : x
2. Step 2: Convert to fraction form
   1,407.12/1,941.67 = 777.49/x
3. Step 3: Cross multiply
   1,407.12x = 1,941.67 × 777.49
4. Step 4: Simplify right side
   1,407.12x = 1,509,630.38
5. Step 5: Solve for x
   x = 1,509,630.38/1,407.12
6. Step 6: Final answer
   x = 1,072.85