Finding the Fourth Proportional to 2,151.24, 3,224.10 and 1,178.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.24 : 3,224.10 = 1,178.02 : x
2. Step 2: Convert to fraction form
   2,151.24/3,224.10 = 1,178.02/x
3. Step 3: Cross multiply
   2,151.24x = 3,224.10 × 1,178.02
4. Step 4: Simplify right side
   2,151.24x = 3,798,054.28
5. Step 5: Solve for x
   x = 3,798,054.28/2,151.24
6. Step 6: Final answer
   x = 1,765.52