Finding the Fourth Proportional to 9,535.88, 13,159.89 and 5,557.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.88 : 13,159.89 = 5,557.34 : x
2. Step 2: Convert to fraction form
   9,535.88/13,159.89 = 5,557.34/x
3. Step 3: Cross multiply
   9,535.88x = 13,159.89 × 5,557.34
4. Step 4: Simplify right side
   9,535.88x = 73,133,917.29
5. Step 5: Solve for x
   x = 73,133,917.29/9,535.88
6. Step 6: Final answer
   x = 7,669.35