Finding the Fourth Proportional to 1,406.58, 1,941.14 and 777.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.58 : 1,941.14 = 777.18 : x
2. Step 2: Convert to fraction form
   1,406.58/1,941.14 = 777.18/x
3. Step 3: Cross multiply
   1,406.58x = 1,941.14 × 777.18
4. Step 4: Simplify right side
   1,406.58x = 1,508,611.30
5. Step 5: Solve for x
   x = 1,508,611.30/1,406.58
6. Step 6: Final answer
   x = 1,072.54