Finding the Fourth Proportional to 1,405.92, 1,940.24 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.92 : 1,940.24 = 776.52 : x
2. Step 2: Convert to fraction form
   1,405.92/1,940.24 = 776.52/x
3. Step 3: Cross multiply
   1,405.92x = 1,940.24 × 776.52
4. Step 4: Simplify right side
   1,405.92x = 1,506,635.16
5. Step 5: Solve for x
   x = 1,506,635.16/1,405.92
6. Step 6: Final answer
   x = 1,071.64