Finding the Fourth Proportional to 1,659.24, 2,493.72 and 1,538.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.24 : 2,493.72 = 1,538.55 : x
2. Step 2: Convert to fraction form
   1,659.24/2,493.72 = 1,538.55/x
3. Step 3: Cross multiply
   1,659.24x = 2,493.72 × 1,538.55
4. Step 4: Simplify right side
   1,659.24x = 3,836,712.91
5. Step 5: Solve for x
   x = 3,836,712.91/1,659.24
6. Step 6: Final answer
   x = 2,312.33