Finding the Fourth Proportional to 2,337.16, 3,505 and 776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,337.16 : 3,505 = 776.82 : x
2. Step 2: Convert to fraction form
   2,337.16/3,505 = 776.82/x
3. Step 3: Cross multiply
   2,337.16x = 3,505 × 776.82
4. Step 4: Simplify right side
   2,337.16x = 2,722,754.10
5. Step 5: Solve for x
   x = 2,722,754.10/2,337.16
6. Step 6: Final answer
   x = 1,164.98