Finding the Fourth Proportional to 1,405.20, 1,940.58 and 1,158.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.20 : 1,940.58 = 1,158.96 : x
2. Step 2: Convert to fraction form
   1,405.20/1,940.58 = 1,158.96/x
3. Step 3: Cross multiply
   1,405.20x = 1,940.58 × 1,158.96
4. Step 4: Simplify right side
   1,405.20x = 2,249,054.60
5. Step 5: Solve for x
   x = 2,249,054.60/1,405.20
6. Step 6: Final answer
   x = 1,600.52