Finding the Fourth Proportional to 14,264.67, 19,684.71 and 7,978.26

Step by Step Solution

1. Step 1: Write the proportion equation
   14,264.67 : 19,684.71 = 7,978.26 : x
2. Step 2: Convert to fraction form
   14,264.67/19,684.71 = 7,978.26/x
3. Step 3: Cross multiply
   14,264.67x = 19,684.71 × 7,978.26
4. Step 4: Simplify right side
   14,264.67x = 157,049,734.40
5. Step 5: Solve for x
   x = 157,049,734.40/14,264.67
6. Step 6: Final answer
   x = 11,009.70