Finding the Fourth Proportional to 4,085.69, 6,128.10 and 1,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   4,085.69 : 6,128.10 = 1,164.24 : x
2. Step 2: Convert to fraction form
   4,085.69/6,128.10 = 1,164.24/x
3. Step 3: Cross multiply
   4,085.69x = 6,128.10 × 1,164.24
4. Step 4: Simplify right side
   4,085.69x = 7,134,579.14
5. Step 5: Solve for x
   x = 7,134,579.14/4,085.69
6. Step 6: Final answer
   x = 1,746.24