Finding the Fourth Proportional to 1,196.39, 1,640.72 and 1,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.39 : 1,640.72 = 1,146.50 : x
2. Step 2: Convert to fraction form
   1,196.39/1,640.72 = 1,146.50/x
3. Step 3: Cross multiply
   1,196.39x = 1,640.72 × 1,146.50
4. Step 4: Simplify right side
   1,196.39x = 1,881,079.75
5. Step 5: Solve for x
   x = 1,881,079.75/1,196.39
6. Step 6: Final answer
   x = 1,572.30