Finding the Fourth Proportional to 1,856.20, 2,784.72 and 557.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.20 : 2,784.72 = 557.69 : x
2. Step 2: Convert to fraction form
   1,856.20/2,784.72 = 557.69/x
3. Step 3: Cross multiply
   1,856.20x = 2,784.72 × 557.69
4. Step 4: Simplify right side
   1,856.20x = 1,553,010.50
5. Step 5: Solve for x
   x = 1,553,010.50/1,856.20
6. Step 6: Final answer
   x = 836.66