Finding the Fourth Proportional to 9,004.79, 12,423.14 and 5,641.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,004.79 : 12,423.14 = 5,641.76 : x
2. Step 2: Convert to fraction form
   9,004.79/12,423.14 = 5,641.76/x
3. Step 3: Cross multiply
   9,004.79x = 12,423.14 × 5,641.76
4. Step 4: Simplify right side
   9,004.79x = 70,088,284.00
5. Step 5: Solve for x
   x = 70,088,284.00/9,004.79
6. Step 6: Final answer
   x = 7,783.45