Finding the Fourth Proportional to 5,538.56, 7,640.80 and 4,042.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.56 : 7,640.80 = 4,042.88 : x
2. Step 2: Convert to fraction form
   5,538.56/7,640.80 = 4,042.88/x
3. Step 3: Cross multiply
   5,538.56x = 7,640.80 × 4,042.88
4. Step 4: Simplify right side
   5,538.56x = 30,890,837.50
5. Step 5: Solve for x
   x = 30,890,837.50/5,538.56
6. Step 6: Final answer
   x = 5,577.41