Finding the Fourth Proportional to 1,152.34, 1,729.54 and 781.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.34 : 1,729.54 = 781.24 : x
2. Step 2: Convert to fraction form
   1,152.34/1,729.54 = 781.24/x
3. Step 3: Cross multiply
   1,152.34x = 1,729.54 × 781.24
4. Step 4: Simplify right side
   1,152.34x = 1,351,185.83
5. Step 5: Solve for x
   x = 1,351,185.83/1,152.34
6. Step 6: Final answer
   x = 1,172.56