Finding the Fourth Proportional to 1,605.56, 2,404.56 and 784.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.56 : 2,404.56 = 784.40 : x
2. Step 2: Convert to fraction form
   1,605.56/2,404.56 = 784.40/x
3. Step 3: Cross multiply
   1,605.56x = 2,404.56 × 784.40
4. Step 4: Simplify right side
   1,605.56x = 1,886,136.86
5. Step 5: Solve for x
   x = 1,886,136.86/1,605.56
6. Step 6: Final answer
   x = 1,174.75