Finding the Fourth Proportional to 9,109.39, 12,574.10 and 5,333.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.39 : 12,574.10 = 5,333.77 : x
2. Step 2: Convert to fraction form
   9,109.39/12,574.10 = 5,333.77/x
3. Step 3: Cross multiply
   9,109.39x = 12,574.10 × 5,333.77
4. Step 4: Simplify right side
   9,109.39x = 67,067,342.20
5. Step 5: Solve for x
   x = 67,067,342.20/9,109.39
6. Step 6: Final answer
   x = 7,362.44