Finding the Fourth Proportional to 2,656.28, 3,665.27 and 1,537.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.28 : 3,665.27 = 1,537.00 : x
2. Step 2: Convert to fraction form
   2,656.28/3,665.27 = 1,537.00/x
3. Step 3: Cross multiply
   2,656.28x = 3,665.27 × 1,537.00
4. Step 4: Simplify right side
   2,656.28x = 5,633,493.98
5. Step 5: Solve for x
   x = 5,633,493.98/2,656.28
6. Step 6: Final answer
   x = 2,120.82