Finding the Fourth Proportional to 10,849.95, 14,978.52 and 7,078.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,849.95 : 14,978.52 = 7,078.59 : x
2. Step 2: Convert to fraction form
   10,849.95/14,978.52 = 7,078.59/x
3. Step 3: Cross multiply
   10,849.95x = 14,978.52 × 7,078.59
4. Step 4: Simplify right side
   10,849.95x = 106,026,801.89
5. Step 5: Solve for x
   x = 106,026,801.89/10,849.95
6. Step 6: Final answer
   x = 9,772.10