Finding the Fourth Proportional to 1,947.32, 2,918.81 and 776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.32 : 2,918.81 = 776.82 : x
2. Step 2: Convert to fraction form
   1,947.32/2,918.81 = 776.82/x
3. Step 3: Cross multiply
   1,947.32x = 2,918.81 × 776.82
4. Step 4: Simplify right side
   1,947.32x = 2,267,389.98
5. Step 5: Solve for x
   x = 2,267,389.98/1,947.32
6. Step 6: Final answer
   x = 1,164.36