Finding the Fourth Proportional to 1,188.10, 1,637.55 and 814.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.10 : 1,637.55 = 814.42 : x
2. Step 2: Convert to fraction form
   1,188.10/1,637.55 = 814.42/x
3. Step 3: Cross multiply
   1,188.10x = 1,637.55 × 814.42
4. Step 4: Simplify right side
   1,188.10x = 1,333,653.47
5. Step 5: Solve for x
   x = 1,333,653.47/1,188.10
6. Step 6: Final answer
   x = 1,122.51