Finding the Fourth Proportional to 1,406.47, 1,940.89 and 776.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.47 : 1,940.89 = 776.98 : x
2. Step 2: Convert to fraction form
   1,406.47/1,940.89 = 776.98/x
3. Step 3: Cross multiply
   1,406.47x = 1,940.89 × 776.98
4. Step 4: Simplify right side
   1,406.47x = 1,508,032.71
5. Step 5: Solve for x
   x = 1,508,032.71/1,406.47
6. Step 6: Final answer
   x = 1,072.21