Finding the Fourth Proportional to 9,632.58, 14,435 and 5,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.58 : 14,435 = 5,674.50 : x
2. Step 2: Convert to fraction form
   9,632.58/14,435 = 5,674.50/x
3. Step 3: Cross multiply
   9,632.58x = 14,435 × 5,674.50
4. Step 4: Simplify right side
   9,632.58x = 81,911,407.50
5. Step 5: Solve for x
   x = 81,911,407.50/9,632.58
6. Step 6: Final answer
   x = 8,503.58