Finding the Fourth Proportional to 1,164.86, 1,606.82 and 699.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.86 : 1,606.82 = 699.02 : x
2. Step 2: Convert to fraction form
   1,164.86/1,606.82 = 699.02/x
3. Step 3: Cross multiply
   1,164.86x = 1,606.82 × 699.02
4. Step 4: Simplify right side
   1,164.86x = 1,123,199.32
5. Step 5: Solve for x
   x = 1,123,199.32/1,164.86
6. Step 6: Final answer
   x = 964.24