Finding the Fourth Proportional to 1,065.21, 1,468.71 and 785.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.21 : 1,468.71 = 785.40 : x
2. Step 2: Convert to fraction form
   1,065.21/1,468.71 = 785.40/x
3. Step 3: Cross multiply
   1,065.21x = 1,468.71 × 785.40
4. Step 4: Simplify right side
   1,065.21x = 1,153,524.83
5. Step 5: Solve for x
   x = 1,153,524.83/1,065.21
6. Step 6: Final answer
   x = 1,082.91