Finding the Fourth Proportional to 9,356.35, 12,911.43 and 5,577.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,356.35 : 12,911.43 = 5,577.56 : x
2. Step 2: Convert to fraction form
   9,356.35/12,911.43 = 5,577.56/x
3. Step 3: Cross multiply
   9,356.35x = 12,911.43 × 5,577.56
4. Step 4: Simplify right side
   9,356.35x = 72,014,328.71
5. Step 5: Solve for x
   x = 72,014,328.71/9,356.35
6. Step 6: Final answer
   x = 7,696.84