Finding the Fourth Proportional to 2,625.47, 3,937.64 and 776.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.47 : 3,937.64 = 776.27 : x
2. Step 2: Convert to fraction form
   2,625.47/3,937.64 = 776.27/x
3. Step 3: Cross multiply
   2,625.47x = 3,937.64 × 776.27
4. Step 4: Simplify right side
   2,625.47x = 3,056,667.92
5. Step 5: Solve for x
   x = 3,056,667.92/2,625.47
6. Step 6: Final answer
   x = 1,164.24