Finding the Fourth Proportional to 1,164.59, 1,746.43 and 433.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.59 : 1,746.43 = 433.77 : x
2. Step 2: Convert to fraction form
   1,164.59/1,746.43 = 433.77/x
3. Step 3: Cross multiply
   1,164.59x = 1,746.43 × 433.77
4. Step 4: Simplify right side
   1,164.59x = 757,541.31
5. Step 5: Solve for x
   x = 757,541.31/1,164.59
6. Step 6: Final answer
   x = 650.48