Finding the Fourth Proportional to 1,141.34, 1,575.69 and 699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.34 : 1,575.69 = 699.50 : x
2. Step 2: Convert to fraction form
   1,141.34/1,575.69 = 699.50/x
3. Step 3: Cross multiply
   1,141.34x = 1,575.69 × 699.50
4. Step 4: Simplify right side
   1,141.34x = 1,102,195.16
5. Step 5: Solve for x
   x = 1,102,195.16/1,141.34
6. Step 6: Final answer
   x = 965.70