Finding the Fourth Proportional to 2,656.84, 3,666.40 and 1,477.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.84 : 3,666.40 = 1,477.89 : x
2. Step 2: Convert to fraction form
   2,656.84/3,666.40 = 1,477.89/x
3. Step 3: Cross multiply
   2,656.84x = 3,666.40 × 1,477.89
4. Step 4: Simplify right side
   2,656.84x = 5,418,535.90
5. Step 5: Solve for x
   x = 5,418,535.90/2,656.84
6. Step 6: Final answer
   x = 2,039.47