Finding the Fourth Proportional to 1,152.62, 1,729.35 and 690.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.62 : 1,729.35 = 690.72 : x
2. Step 2: Convert to fraction form
   1,152.62/1,729.35 = 690.72/x
3. Step 3: Cross multiply
   1,152.62x = 1,729.35 × 690.72
4. Step 4: Simplify right side
   1,152.62x = 1,194,496.63
5. Step 5: Solve for x
   x = 1,194,496.63/1,152.62
6. Step 6: Final answer
   x = 1,036.34