Finding the Fourth Proportional to 1,947.34, 2,920.60 and 776.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.34 : 2,920.60 = 776.62 : x
2. Step 2: Convert to fraction form
   1,947.34/2,920.60 = 776.62/x
3. Step 3: Cross multiply
   1,947.34x = 2,920.60 × 776.62
4. Step 4: Simplify right side
   1,947.34x = 2,268,196.37
5. Step 5: Solve for x
   x = 2,268,196.37/1,947.34
6. Step 6: Final answer
   x = 1,164.77