Finding the Fourth Proportional to 1,407.16, 2,098.85 and 1,189.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.16 : 2,098.85 = 1,189.24 : x
2. Step 2: Convert to fraction form
   1,407.16/2,098.85 = 1,189.24/x
3. Step 3: Cross multiply
   1,407.16x = 2,098.85 × 1,189.24
4. Step 4: Simplify right side
   1,407.16x = 2,496,036.37
5. Step 5: Solve for x
   x = 2,496,036.37/1,407.16
6. Step 6: Final answer
   x = 1,773.81