Finding the Fourth Proportional to 1,066.23, 1,470.77 and 786.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.23 : 1,470.77 = 786.38 : x
2. Step 2: Convert to fraction form
   1,066.23/1,470.77 = 786.38/x
3. Step 3: Cross multiply
   1,066.23x = 1,470.77 × 786.38
4. Step 4: Simplify right side
   1,066.23x = 1,156,576.50
5. Step 5: Solve for x
   x = 1,156,576.50/1,066.23
6. Step 6: Final answer
   x = 1,084.73