Finding the Fourth Proportional to 9,005.79, 12,424.51 and 5,642.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.79 : 12,424.51 = 5,642.76 : x
2. Step 2: Convert to fraction form
   9,005.79/12,424.51 = 5,642.76/x
3. Step 3: Cross multiply
   9,005.79x = 12,424.51 × 5,642.76
4. Step 4: Simplify right side
   9,005.79x = 70,108,528.05
5. Step 5: Solve for x
   x = 70,108,528.05/9,005.79
6. Step 6: Final answer
   x = 7,784.83