Finding the Fourth Proportional to 1,406.13, 1,940.52 and 776.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.13 : 1,940.52 = 776.74 : x
2. Step 2: Convert to fraction form
   1,406.13/1,940.52 = 776.74/x
3. Step 3: Cross multiply
   1,406.13x = 1,940.52 × 776.74
4. Step 4: Simplify right side
   1,406.13x = 1,507,279.50
5. Step 5: Solve for x
   x = 1,507,279.50/1,406.13
6. Step 6: Final answer
   x = 1,071.93