Finding the Fourth Proportional to 3,962.25, 5,942.49 and 1,188.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,962.25 : 5,942.49 = 1,188.57 : x
2. Step 2: Convert to fraction form
   3,962.25/5,942.49 = 1,188.57/x
3. Step 3: Cross multiply
   3,962.25x = 5,942.49 × 1,188.57
4. Step 4: Simplify right side
   3,962.25x = 7,063,065.34
5. Step 5: Solve for x
   x = 7,063,065.34/3,962.25
6. Step 6: Final answer
   x = 1,782.59