Finding the Fourth Proportional to 1,188, 1,635.57 and 1,032.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 1,635.57 = 1,032.69 : x
2. Step 2: Convert to fraction form
   1,188/1,635.57 = 1,032.69/x
3. Step 3: Cross multiply
   1,188x = 1,635.57 × 1,032.69
4. Step 4: Simplify right side
   1,188x = 1,689,036.78
5. Step 5: Solve for x
   x = 1,689,036.78/1,188
6. Step 6: Final answer
   x = 1,421.75