Finding the Fourth Proportional to 1,186.42, 1,637.64 and 738.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.42 : 1,637.64 = 738.52 : x
2. Step 2: Convert to fraction form
   1,186.42/1,637.64 = 738.52/x
3. Step 3: Cross multiply
   1,186.42x = 1,637.64 × 738.52
4. Step 4: Simplify right side
   1,186.42x = 1,209,429.89
5. Step 5: Solve for x
   x = 1,209,429.89/1,186.42
6. Step 6: Final answer
   x = 1,019.39