Finding the Fourth Proportional to 10,264.79, 14,164.35 and 7,577.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.79 : 14,164.35 = 7,577.43 : x
2. Step 2: Convert to fraction form
   10,264.79/14,164.35 = 7,577.43/x
3. Step 3: Cross multiply
   10,264.79x = 14,164.35 × 7,577.43
4. Step 4: Simplify right side
   10,264.79x = 107,329,370.62
5. Step 5: Solve for x
   x = 107,329,370.62/10,264.79
6. Step 6: Final answer
   x = 10,456.08