Finding the Fourth Proportional to 5,460.76, 7,538.10 and 3,888.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,460.76 : 7,538.10 = 3,888.52 : x
2. Step 2: Convert to fraction form
   5,460.76/7,538.10 = 3,888.52/x
3. Step 3: Cross multiply
   5,460.76x = 7,538.10 × 3,888.52
4. Step 4: Simplify right side
   5,460.76x = 29,312,052.61
5. Step 5: Solve for x
   x = 29,312,052.61/5,460.76
6. Step 6: Final answer
   x = 5,367.76