Finding the Fourth Proportional to 1,727.63, 2,591.39 and 429.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.63 : 2,591.39 = 429.10 : x
2. Step 2: Convert to fraction form
   1,727.63/2,591.39 = 429.10/x
3. Step 3: Cross multiply
   1,727.63x = 2,591.39 × 429.10
4. Step 4: Simplify right side
   1,727.63x = 1,111,960.04
5. Step 5: Solve for x
   x = 1,111,960.04/1,727.63
6. Step 6: Final answer
   x = 643.63