Finding the Fourth Proportional to 1,931.87, 2,896.18 and 778.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,931.87 : 2,896.18 = 778.43 : x
2. Step 2: Convert to fraction form
   1,931.87/2,896.18 = 778.43/x
3. Step 3: Cross multiply
   1,931.87x = 2,896.18 × 778.43
4. Step 4: Simplify right side
   1,931.87x = 2,254,478.69
5. Step 5: Solve for x
   x = 2,254,478.69/1,931.87
6. Step 6: Final answer
   x = 1,166.99