Finding the Fourth Proportional to 1,141.69, 1,711.84 and 524.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.69 : 1,711.84 = 524.62 : x
2. Step 2: Convert to fraction form
   1,141.69/1,711.84 = 524.62/x
3. Step 3: Cross multiply
   1,141.69x = 1,711.84 × 524.62
4. Step 4: Simplify right side
   1,141.69x = 898,065.50
5. Step 5: Solve for x
   x = 898,065.50/1,141.69
6. Step 6: Final answer
   x = 786.61