Finding the Fourth Proportional to 1,416.30, 1,954.28 and 786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.30 : 1,954.28 = 786.82 : x
2. Step 2: Convert to fraction form
   1,416.30/1,954.28 = 786.82/x
3. Step 3: Cross multiply
   1,416.30x = 1,954.28 × 786.82
4. Step 4: Simplify right side
   1,416.30x = 1,537,659.25
5. Step 5: Solve for x
   x = 1,537,659.25/1,416.30
6. Step 6: Final answer
   x = 1,085.69