Finding the Fourth Proportional to 1,416.22, 1,954.41 and 786.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.22 : 1,954.41 = 786.80 : x
2. Step 2: Convert to fraction form
   1,416.22/1,954.41 = 786.80/x
3. Step 3: Cross multiply
   1,416.22x = 1,954.41 × 786.80
4. Step 4: Simplify right side
   1,416.22x = 1,537,731.72
5. Step 5: Solve for x
   x = 1,537,731.72/1,416.22
6. Step 6: Final answer
   x = 1,085.80