Finding the Fourth Proportional to 12,878.52, 17,774.82 and 7,577.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,878.52 : 17,774.82 = 7,577.88 : x
2. Step 2: Convert to fraction form
   12,878.52/17,774.82 = 7,577.88/x
3. Step 3: Cross multiply
   12,878.52x = 17,774.82 × 7,577.88
4. Step 4: Simplify right side
   12,878.52x = 134,695,452.98
5. Step 5: Solve for x
   x = 134,695,452.98/12,878.52
6. Step 6: Final answer
   x = 10,458.92