Finding the Fourth Proportional to 1,185.21, 1,775.69 and 698.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.21 : 1,775.69 = 698.00 : x
2. Step 2: Convert to fraction form
   1,185.21/1,775.69 = 698.00/x
3. Step 3: Cross multiply
   1,185.21x = 1,775.69 × 698.00
4. Step 4: Simplify right side
   1,185.21x = 1,239,419.25
5. Step 5: Solve for x
   x = 1,239,419.25/1,185.21
6. Step 6: Final answer
   x = 1,045.74