Finding the Fourth Proportional to 1,161.50, 1,602.82 and 664.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161.50 : 1,602.82 = 664.12 : x
2. Step 2: Convert to fraction form
   1,161.50/1,602.82 = 664.12/x
3. Step 3: Cross multiply
   1,161.50x = 1,602.82 × 664.12
4. Step 4: Simplify right side
   1,161.50x = 1,064,464.82
5. Step 5: Solve for x
   x = 1,064,464.82/1,161.50
6. Step 6: Final answer
   x = 916.46