Finding the Fourth Proportional to 1,165.86, 1,608.15 and 693.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.86 : 1,608.15 = 693.42 : x
2. Step 2: Convert to fraction form
   1,165.86/1,608.15 = 693.42/x
3. Step 3: Cross multiply
   1,165.86x = 1,608.15 × 693.42
4. Step 4: Simplify right side
   1,165.86x = 1,115,124.47
5. Step 5: Solve for x
   x = 1,115,124.47/1,165.86
6. Step 6: Final answer
   x = 956.48