Finding the Fourth Proportional to 9,152.88, 12,624.30 and 5,796.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.88 : 12,624.30 = 5,796.24 : x
2. Step 2: Convert to fraction form
   9,152.88/12,624.30 = 5,796.24/x
3. Step 3: Cross multiply
   9,152.88x = 12,624.30 × 5,796.24
4. Step 4: Simplify right side
   9,152.88x = 73,173,472.63
5. Step 5: Solve for x
   x = 73,173,472.63/9,152.88
6. Step 6: Final answer
   x = 7,994.58