Finding the Fourth Proportional to 1,510.25, 2,263.32 and 778.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.25 : 2,263.32 = 778.28 : x
2. Step 2: Convert to fraction form
   1,510.25/2,263.32 = 778.28/x
3. Step 3: Cross multiply
   1,510.25x = 2,263.32 × 778.28
4. Step 4: Simplify right side
   1,510.25x = 1,761,496.69
5. Step 5: Solve for x
   x = 1,761,496.69/1,510.25
6. Step 6: Final answer
   x = 1,166.36