Finding the Fourth Proportional to 2,095.17, 3,141.78 and 778.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,095.17 : 3,141.78 = 778.01 : x
2. Step 2: Convert to fraction form
   2,095.17/3,141.78 = 778.01/x
3. Step 3: Cross multiply
   2,095.17x = 3,141.78 × 778.01
4. Step 4: Simplify right side
   2,095.17x = 2,444,320.55
5. Step 5: Solve for x
   x = 2,444,320.55/2,095.17
6. Step 6: Final answer
   x = 1,166.65