Finding the Fourth Proportional to 1,533.18, 2,116.98 and 1,178.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.18 : 2,116.98 = 1,178.54 : x
2. Step 2: Convert to fraction form
   1,533.18/2,116.98 = 1,178.54/x
3. Step 3: Cross multiply
   1,533.18x = 2,116.98 × 1,178.54
4. Step 4: Simplify right side
   1,533.18x = 2,494,945.61
5. Step 5: Solve for x
   x = 2,494,945.61/1,533.18
6. Step 6: Final answer
   x = 1,627.30