Finding the Fourth Proportional to 1,533.12, 2,296.62 and 1,185.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.12 : 2,296.62 = 1,185.24 : x
2. Step 2: Convert to fraction form
   1,533.12/2,296.62 = 1,185.24/x
3. Step 3: Cross multiply
   1,533.12x = 2,296.62 × 1,185.24
4. Step 4: Simplify right side
   1,533.12x = 2,722,045.89
5. Step 5: Solve for x
   x = 2,722,045.89/1,533.12
6. Step 6: Final answer
   x = 1,775.49