Finding the Fourth Proportional to 9,518.02, 13,133.32 and 5,978.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,518.02 : 13,133.32 = 5,978.74 : x
2. Step 2: Convert to fraction form
   9,518.02/13,133.32 = 5,978.74/x
3. Step 3: Cross multiply
   9,518.02x = 13,133.32 × 5,978.74
4. Step 4: Simplify right side
   9,518.02x = 78,520,705.62
5. Step 5: Solve for x
   x = 78,520,705.62/9,518.02
6. Step 6: Final answer
   x = 8,249.69