Finding the Fourth Proportional to 11,978, 16,530.76 and 7,010

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978 : 16,530.76 = 7,010 : x
2. Step 2: Convert to fraction form
   11,978/16,530.76 = 7,010/x
3. Step 3: Cross multiply
   11,978x = 16,530.76 × 7,010
4. Step 4: Simplify right side
   11,978x = 115,880,627.60
5. Step 5: Solve for x
   x = 115,880,627.60/11,978
6. Step 6: Final answer
   x = 9,674.46