Finding the Fourth Proportional to 7,638.72, 10,538.16 and 5,653.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638.72 : 10,538.16 = 5,653.92 : x
2. Step 2: Convert to fraction form
   7,638.72/10,538.16 = 5,653.92/x
3. Step 3: Cross multiply
   7,638.72x = 10,538.16 × 5,653.92
4. Step 4: Simplify right side
   7,638.72x = 59,581,913.59
5. Step 5: Solve for x
   x = 59,581,913.59/7,638.72
6. Step 6: Final answer
   x = 7,799.99