Finding the Fourth Proportional to 1,188, 1,783.98 and 1,098.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 1,783.98 = 1,098.18 : x
2. Step 2: Convert to fraction form
   1,188/1,783.98 = 1,098.18/x
3. Step 3: Cross multiply
   1,188x = 1,783.98 × 1,098.18
4. Step 4: Simplify right side
   1,188x = 1,959,131.16
5. Step 5: Solve for x
   x = 1,959,131.16/1,188
6. Step 6: Final answer
   x = 1,649.10