Finding the Fourth Proportional to 1,406.03, 1,940.31 and 776.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.03 : 1,940.31 = 776.57 : x
2. Step 2: Convert to fraction form
   1,406.03/1,940.31 = 776.57/x
3. Step 3: Cross multiply
   1,406.03x = 1,940.31 × 776.57
4. Step 4: Simplify right side
   1,406.03x = 1,506,776.84
5. Step 5: Solve for x
   x = 1,506,776.84/1,406.03
6. Step 6: Final answer
   x = 1,071.66