Finding the Fourth Proportional to 1,496.31, 2,241.50 and 1,188.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.31 : 2,241.50 = 1,188.69 : x
2. Step 2: Convert to fraction form
   1,496.31/2,241.50 = 1,188.69/x
3. Step 3: Cross multiply
   1,496.31x = 2,241.50 × 1,188.69
4. Step 4: Simplify right side
   1,496.31x = 2,664,442.69
5. Step 5: Solve for x
   x = 2,664,442.69/1,496.31
6. Step 6: Final answer
   x = 1,780.68