Finding the Fourth Proportional to 1,162.84, 1,593.89 and 1,146.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.84 : 1,593.89 = 1,146.64 : x
2. Step 2: Convert to fraction form
   1,162.84/1,593.89 = 1,146.64/x
3. Step 3: Cross multiply
   1,162.84x = 1,593.89 × 1,146.64
4. Step 4: Simplify right side
   1,162.84x = 1,827,618.03
5. Step 5: Solve for x
   x = 1,827,618.03/1,162.84
6. Step 6: Final answer
   x = 1,571.68