Finding the Fourth Proportional to 1,406.04, 1,940.16 and 776.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.04 : 1,940.16 = 776.57 : x
2. Step 2: Convert to fraction form
   1,406.04/1,940.16 = 776.57/x
3. Step 3: Cross multiply
   1,406.04x = 1,940.16 × 776.57
4. Step 4: Simplify right side
   1,406.04x = 1,506,664.57
5. Step 5: Solve for x
   x = 1,506,664.57/1,406.04
6. Step 6: Final answer
   x = 1,071.57