Finding the Fourth Proportional to 9,645.95, 13,311.74 and 5,667.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.95 : 13,311.74 = 5,667.00 : x
2. Step 2: Convert to fraction form
   9,645.95/13,311.74 = 5,667.00/x
3. Step 3: Cross multiply
   9,645.95x = 13,311.74 × 5,667.00
4. Step 4: Simplify right side
   9,645.95x = 75,437,594.83
5. Step 5: Solve for x
   x = 75,437,594.83/9,645.95
6. Step 6: Final answer
   x = 7,820.65