Finding the Fourth Proportional to 13,002.96, 19,488.25 and 5,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.96 : 19,488.25 = 5,975.50 : x
2. Step 2: Convert to fraction form
   13,002.96/19,488.25 = 5,975.50/x
3. Step 3: Cross multiply
   13,002.96x = 19,488.25 × 5,975.50
4. Step 4: Simplify right side
   13,002.96x = 116,451,944.74
5. Step 5: Solve for x
   x = 116,451,944.74/13,002.96
6. Step 6: Final answer
   x = 8,955.81