Finding the Fourth Proportional to 1,856.72, 2,785.00 and 470.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.72 : 2,785.00 = 470.08 : x
2. Step 2: Convert to fraction form
   1,856.72/2,785.00 = 470.08/x
3. Step 3: Cross multiply
   1,856.72x = 2,785.00 × 470.08
4. Step 4: Simplify right side
   1,856.72x = 1,309,181.84
5. Step 5: Solve for x
   x = 1,309,181.84/1,856.72
6. Step 6: Final answer
   x = 705.10