Finding the Fourth Proportional to 9,632.58, 14,422.78 and 5,005.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.58 : 14,422.78 = 5,005.86 : x
2. Step 2: Convert to fraction form
   9,632.58/14,422.78 = 5,005.86/x
3. Step 3: Cross multiply
   9,632.58x = 14,422.78 × 5,005.86
4. Step 4: Simplify right side
   9,632.58x = 72,198,417.49
5. Step 5: Solve for x
   x = 72,198,417.49/9,632.58
6. Step 6: Final answer
   x = 7,495.23