Finding the Fourth Proportional to 9,624.32, 13,277.82 and 5,643.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.32 : 13,277.82 = 5,643.98 : x
2. Step 2: Convert to fraction form
   9,624.32/13,277.82 = 5,643.98/x
3. Step 3: Cross multiply
   9,624.32x = 13,277.82 × 5,643.98
4. Step 4: Simplify right side
   9,624.32x = 74,939,750.52
5. Step 5: Solve for x
   x = 74,939,750.52/9,624.32
6. Step 6: Final answer
   x = 7,786.50