Finding the Fourth Proportional to 1,166.32, 1,609.50 and 642.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.32 : 1,609.50 = 642.34 : x
2. Step 2: Convert to fraction form
   1,166.32/1,609.50 = 642.34/x
3. Step 3: Cross multiply
   1,166.32x = 1,609.50 × 642.34
4. Step 4: Simplify right side
   1,166.32x = 1,033,846.23
5. Step 5: Solve for x
   x = 1,033,846.23/1,166.32
6. Step 6: Final answer
   x = 886.42