Finding the Fourth Proportional to 1,559.30, 2,337.86 and 778.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.30 : 2,337.86 = 778.19 : x
2. Step 2: Convert to fraction form
   1,559.30/2,337.86 = 778.19/x
3. Step 3: Cross multiply
   1,559.30x = 2,337.86 × 778.19
4. Step 4: Simplify right side
   1,559.30x = 1,819,289.53
5. Step 5: Solve for x
   x = 1,819,289.53/1,559.30
6. Step 6: Final answer
   x = 1,166.74