Finding the Fourth Proportional to 1,588.06, 2,204.72 and 1,540.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.06 : 2,204.72 = 1,540.54 : x
2. Step 2: Convert to fraction form
   1,588.06/2,204.72 = 1,540.54/x
3. Step 3: Cross multiply
   1,588.06x = 2,204.72 × 1,540.54
4. Step 4: Simplify right side
   1,588.06x = 3,396,459.35
5. Step 5: Solve for x
   x = 3,396,459.35/1,588.06
6. Step 6: Final answer
   x = 2,138.75