Finding the Fourth Proportional to 1,406.02, 1,940.42 and 776.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.02 : 1,940.42 = 776.60 : x
2. Step 2: Convert to fraction form
   1,406.02/1,940.42 = 776.60/x
3. Step 3: Cross multiply
   1,406.02x = 1,940.42 × 776.60
4. Step 4: Simplify right side
   1,406.02x = 1,506,930.17
5. Step 5: Solve for x
   x = 1,506,930.17/1,406.02
6. Step 6: Final answer
   x = 1,071.77