Finding the Fourth Proportional to 1,770.24, 2,441.52 and 1,164.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.24 : 2,441.52 = 1,164.12 : x
2. Step 2: Convert to fraction form
   1,770.24/2,441.52 = 1,164.12/x
3. Step 3: Cross multiply
   1,770.24x = 2,441.52 × 1,164.12
4. Step 4: Simplify right side
   1,770.24x = 2,842,222.26
5. Step 5: Solve for x
   x = 2,842,222.26/1,770.24
6. Step 6: Final answer
   x = 1,605.56