Finding the Fourth Proportional to 10,852.96, 14,978.28 and 6,658.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,852.96 : 14,978.28 = 6,658.72 : x
2. Step 2: Convert to fraction form
   10,852.96/14,978.28 = 6,658.72/x
3. Step 3: Cross multiply
   10,852.96x = 14,978.28 × 6,658.72
4. Step 4: Simplify right side
   10,852.96x = 99,736,172.60
5. Step 5: Solve for x
   x = 99,736,172.60/10,852.96
6. Step 6: Final answer
   x = 9,189.77