Finding the Fourth Proportional to 1,856.72, 2,784.82 and 469.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.72 : 2,784.82 = 469.97 : x
2. Step 2: Convert to fraction form
   1,856.72/2,784.82 = 469.97/x
3. Step 3: Cross multiply
   1,856.72x = 2,784.82 × 469.97
4. Step 4: Simplify right side
   1,856.72x = 1,308,781.86
5. Step 5: Solve for x
   x = 1,308,781.86/1,856.72
6. Step 6: Final answer
   x = 704.89