Finding the Fourth Proportional to 1,141.58, 1,711.81 and 524.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.58 : 1,711.81 = 524.77 : x
2. Step 2: Convert to fraction form
   1,141.58/1,711.81 = 524.77/x
3. Step 3: Cross multiply
   1,141.58x = 1,711.81 × 524.77
4. Step 4: Simplify right side
   1,141.58x = 898,300.94
5. Step 5: Solve for x
   x = 898,300.94/1,141.58
6. Step 6: Final answer
   x = 786.89