Finding the Fourth Proportional to 1,416.21, 1,954.15 and 786.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.21 : 1,954.15 = 786.72 : x
2. Step 2: Convert to fraction form
   1,416.21/1,954.15 = 786.72/x
3. Step 3: Cross multiply
   1,416.21x = 1,954.15 × 786.72
4. Step 4: Simplify right side
   1,416.21x = 1,537,374.25
5. Step 5: Solve for x
   x = 1,537,374.25/1,416.21
6. Step 6: Final answer
   x = 1,085.56