Finding the Fourth Proportional to 1,164.38, 1,607.41 and 786.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,607.41 = 786.37 : x
2. Step 2: Convert to fraction form
   1,164.38/1,607.41 = 786.37/x
3. Step 3: Cross multiply
   1,164.38x = 1,607.41 × 786.37
4. Step 4: Simplify right side
   1,164.38x = 1,264,019.00
5. Step 5: Solve for x
   x = 1,264,019.00/1,164.38
6. Step 6: Final answer
   x = 1,085.57