Finding the Fourth Proportional to 1,196.64, 1,640.59 and 1,174.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.64 : 1,640.59 = 1,174.77 : x
2. Step 2: Convert to fraction form
   1,196.64/1,640.59 = 1,174.77/x
3. Step 3: Cross multiply
   1,196.64x = 1,640.59 × 1,174.77
4. Step 4: Simplify right side
   1,196.64x = 1,927,312.98
5. Step 5: Solve for x
   x = 1,927,312.98/1,196.64
6. Step 6: Final answer
   x = 1,610.60