Finding the Fourth Proportional to 13,005.34, 19,491.79 and 5,977.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005.34 : 19,491.79 = 5,977.88 : x
2. Step 2: Convert to fraction form
   13,005.34/19,491.79 = 5,977.88/x
3. Step 3: Cross multiply
   13,005.34x = 19,491.79 × 5,977.88
4. Step 4: Simplify right side
   13,005.34x = 116,519,581.61
5. Step 5: Solve for x
   x = 116,519,581.61/13,005.34
6. Step 6: Final answer
   x = 8,959.36