Finding the Fourth Proportional to 3,388.64, 5,082.24 and 1,538.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,388.64 : 5,082.24 = 1,538.72 : x
2. Step 2: Convert to fraction form
   3,388.64/5,082.24 = 1,538.72/x
3. Step 3: Cross multiply
   3,388.64x = 5,082.24 × 1,538.72
4. Step 4: Simplify right side
   3,388.64x = 7,820,144.33
5. Step 5: Solve for x
   x = 7,820,144.33/3,388.64
6. Step 6: Final answer
   x = 2,307.75