Finding the Fourth Proportional to 2,656.48, 3,665.04 and 1,537.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.48 : 3,665.04 = 1,537.12 : x
2. Step 2: Convert to fraction form
   2,656.48/3,665.04 = 1,537.12/x
3. Step 3: Cross multiply
   2,656.48x = 3,665.04 × 1,537.12
4. Step 4: Simplify right side
   2,656.48x = 5,633,606.28
5. Step 5: Solve for x
   x = 5,633,606.28/2,656.48
6. Step 6: Final answer
   x = 2,120.70