Finding the Fourth Proportional to 9,422.58, 13,005.36 and 5,647.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,422.58 : 13,005.36 = 5,647.98 : x
2. Step 2: Convert to fraction form
   9,422.58/13,005.36 = 5,647.98/x
3. Step 3: Cross multiply
   9,422.58x = 13,005.36 × 5,647.98
4. Step 4: Simplify right side
   9,422.58x = 73,454,013.17
5. Step 5: Solve for x
   x = 73,454,013.17/9,422.58
6. Step 6: Final answer
   x = 7,795.53