Finding the Fourth Proportional to 7,540.21, 10,405.76 and 5,648.45

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540.21 : 10,405.76 = 5,648.45 : x
2. Step 2: Convert to fraction form
   7,540.21/10,405.76 = 5,648.45/x
3. Step 3: Cross multiply
   7,540.21x = 10,405.76 × 5,648.45
4. Step 4: Simplify right side
   7,540.21x = 58,776,415.07
5. Step 5: Solve for x
   x = 58,776,415.07/7,540.21
6. Step 6: Final answer
   x = 7,795.06