Finding the Fourth Proportional to 1,588.81, 2,205.77 and 1,541.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.81 : 2,205.77 = 1,541.29 : x
2. Step 2: Convert to fraction form
   1,588.81/2,205.77 = 1,541.29/x
3. Step 3: Cross multiply
   1,588.81x = 2,205.77 × 1,541.29
4. Step 4: Simplify right side
   1,588.81x = 3,399,723.54
5. Step 5: Solve for x
   x = 3,399,723.54/1,588.81
6. Step 6: Final answer
   x = 2,139.79