Finding the Fourth Proportional to 1,141.60, 1,711.59 and 556.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.60 : 1,711.59 = 556.78 : x
2. Step 2: Convert to fraction form
   1,141.60/1,711.59 = 556.78/x
3. Step 3: Cross multiply
   1,141.60x = 1,711.59 × 556.78
4. Step 4: Simplify right side
   1,141.60x = 952,979.08
5. Step 5: Solve for x
   x = 952,979.08/1,141.60
6. Step 6: Final answer
   x = 834.77