Finding the Fourth Proportional to 1,166.69, 1,610.13 and 642.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.69 : 1,610.13 = 642.82 : x
2. Step 2: Convert to fraction form
   1,166.69/1,610.13 = 642.82/x
3. Step 3: Cross multiply
   1,166.69x = 1,610.13 × 642.82
4. Step 4: Simplify right side
   1,166.69x = 1,035,023.77
5. Step 5: Solve for x
   x = 1,035,023.77/1,166.69
6. Step 6: Final answer
   x = 887.15