Finding the Fourth Proportional to 1,155.78, 1,729.56 and 1,002.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.78 : 1,729.56 = 1,002.24 : x
2. Step 2: Convert to fraction form
   1,155.78/1,729.56 = 1,002.24/x
3. Step 3: Cross multiply
   1,155.78x = 1,729.56 × 1,002.24
4. Step 4: Simplify right side
   1,155.78x = 1,733,434.21
5. Step 5: Solve for x
   x = 1,733,434.21/1,155.78
6. Step 6: Final answer
   x = 1,499.80