Finding the Fourth Proportional to 784.01, 1,081.86 and 434.69

Step by Step Solution

1. Step 1: Write the proportion equation
   784.01 : 1,081.86 = 434.69 : x
2. Step 2: Convert to fraction form
   784.01/1,081.86 = 434.69/x
3. Step 3: Cross multiply
   784.01x = 1,081.86 × 434.69
4. Step 4: Simplify right side
   784.01x = 470,273.72
5. Step 5: Solve for x
   x = 470,273.72/784.01
6. Step 6: Final answer
   x = 599.83