Finding the Fourth Proportional to 1,404.61, 2,105.01 and 778.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.61 : 2,105.01 = 778.42 : x
2. Step 2: Convert to fraction form
   1,404.61/2,105.01 = 778.42/x
3. Step 3: Cross multiply
   1,404.61x = 2,105.01 × 778.42
4. Step 4: Simplify right side
   1,404.61x = 1,638,584.52
5. Step 5: Solve for x
   x = 1,638,584.52/1,404.61
6. Step 6: Final answer
   x = 1,166.58