Finding the Fourth Proportional to 1,406.42, 1,940.82 and 776.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.42 : 1,940.82 = 776.91 : x
2. Step 2: Convert to fraction form
   1,406.42/1,940.82 = 776.91/x
3. Step 3: Cross multiply
   1,406.42x = 1,940.82 × 776.91
4. Step 4: Simplify right side
   1,406.42x = 1,507,842.47
5. Step 5: Solve for x
   x = 1,507,842.47/1,406.42
6. Step 6: Final answer
   x = 1,072.11