Finding the Fourth Proportional to 11,780, 17,672.16 and 5,624

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 17,672.16 = 5,624 : x
2. Step 2: Convert to fraction form
   11,780/17,672.16 = 5,624/x
3. Step 3: Cross multiply
   11,780x = 17,672.16 × 5,624
4. Step 4: Simplify right side
   11,780x = 99,388,227.84
5. Step 5: Solve for x
   x = 99,388,227.84/11,780
6. Step 6: Final answer
   x = 8,437.03