Finding the Fourth Proportional to 1,601.60, 2,410.89 and 1,142.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.60 : 2,410.89 = 1,142.55 : x
2. Step 2: Convert to fraction form
   1,601.60/2,410.89 = 1,142.55/x
3. Step 3: Cross multiply
   1,601.60x = 2,410.89 × 1,142.55
4. Step 4: Simplify right side
   1,601.60x = 2,754,562.37
5. Step 5: Solve for x
   x = 2,754,562.37/1,601.60
6. Step 6: Final answer
   x = 1,719.89