Finding the Fourth Proportional to 9,135.86, 12,609.41 and 5,776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,135.86 : 12,609.41 = 5,776.52 : x
2. Step 2: Convert to fraction form
   9,135.86/12,609.41 = 5,776.52/x
3. Step 3: Cross multiply
   9,135.86x = 12,609.41 × 5,776.52
4. Step 4: Simplify right side
   9,135.86x = 72,838,417.12
5. Step 5: Solve for x
   x = 72,838,417.12/9,135.86
6. Step 6: Final answer
   x = 7,972.81