Finding the Fourth Proportional to 9,807.72, 13,533.83 and 5,557.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,807.72 : 13,533.83 = 5,557.80 : x
2. Step 2: Convert to fraction form
   9,807.72/13,533.83 = 5,557.80/x
3. Step 3: Cross multiply
   9,807.72x = 13,533.83 × 5,557.80
4. Step 4: Simplify right side
   9,807.72x = 75,218,292.59
5. Step 5: Solve for x
   x = 75,218,292.59/9,807.72
6. Step 6: Final answer
   x = 7,669.29