Finding the Fourth Proportional to 1,213.77, 1,823.46 and 1,164.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.77 : 1,823.46 = 1,164.60 : x
2. Step 2: Convert to fraction form
   1,213.77/1,823.46 = 1,164.60/x
3. Step 3: Cross multiply
   1,213.77x = 1,823.46 × 1,164.60
4. Step 4: Simplify right side
   1,213.77x = 2,123,601.52
5. Step 5: Solve for x
   x = 2,123,601.52/1,213.77
6. Step 6: Final answer
   x = 1,749.59