Finding the Fourth Proportional to 1,406.10, 1,940.41 and 776.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.10 : 1,940.41 = 776.67 : x
2. Step 2: Convert to fraction form
   1,406.10/1,940.41 = 776.67/x
3. Step 3: Cross multiply
   1,406.10x = 1,940.41 × 776.67
4. Step 4: Simplify right side
   1,406.10x = 1,507,056.29
5. Step 5: Solve for x
   x = 1,507,056.29/1,406.10
6. Step 6: Final answer
   x = 1,071.80