Finding the Fourth Proportional to 1,238.88, 1,699.50 and 1,164.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.88 : 1,699.50 = 1,164.36 : x
2. Step 2: Convert to fraction form
   1,238.88/1,699.50 = 1,164.36/x
3. Step 3: Cross multiply
   1,238.88x = 1,699.50 × 1,164.36
4. Step 4: Simplify right side
   1,238.88x = 1,978,829.82
5. Step 5: Solve for x
   x = 1,978,829.82/1,238.88
6. Step 6: Final answer
   x = 1,597.27