Finding the Fourth Proportional to 2,656.94, 3,666.97 and 1,538.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.94 : 3,666.97 = 1,538.60 : x
2. Step 2: Convert to fraction form
   2,656.94/3,666.97 = 1,538.60/x
3. Step 3: Cross multiply
   2,656.94x = 3,666.97 × 1,538.60
4. Step 4: Simplify right side
   2,656.94x = 5,642,014.57
5. Step 5: Solve for x
   x = 5,642,014.57/2,656.94
6. Step 6: Final answer
   x = 2,123.50