Finding the Fourth Proportional to 7,633.89, 11,458.24 and 3,687.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,633.89 : 11,458.24 = 3,687.94 : x
2. Step 2: Convert to fraction form
   7,633.89/11,458.24 = 3,687.94/x
3. Step 3: Cross multiply
   7,633.89x = 11,458.24 × 3,687.94
4. Step 4: Simplify right side
   7,633.89x = 42,257,301.63
5. Step 5: Solve for x
   x = 42,257,301.63/7,633.89
6. Step 6: Final answer
   x = 5,535.49