Finding the Fourth Proportional to 2,656.35, 3,665.64 and 1,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.35 : 3,665.64 = 1,477.50 : x
2. Step 2: Convert to fraction form
   2,656.35/3,665.64 = 1,477.50/x
3. Step 3: Cross multiply
   2,656.35x = 3,665.64 × 1,477.50
4. Step 4: Simplify right side
   2,656.35x = 5,415,983.10
5. Step 5: Solve for x
   x = 5,415,983.10/2,656.35
6. Step 6: Final answer
   x = 2,038.88