Finding the Fourth Proportional to 9,596.17, 14,399.57 and 3,677.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.17 : 14,399.57 = 3,677.00 : x
2. Step 2: Convert to fraction form
   9,596.17/14,399.57 = 3,677.00/x
3. Step 3: Cross multiply
   9,596.17x = 14,399.57 × 3,677.00
4. Step 4: Simplify right side
   9,596.17x = 52,947,156.08
5. Step 5: Solve for x
   x = 52,947,156.08/9,596.17
6. Step 6: Final answer
   x = 5,517.53