Finding the Fourth Proportional to 10,277.86, 14,184.10 and 5,799.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.86 : 14,184.10 = 5,799.98 : x
2. Step 2: Convert to fraction form
   10,277.86/14,184.10 = 5,799.98/x
3. Step 3: Cross multiply
   10,277.86x = 14,184.10 × 5,799.98
4. Step 4: Simplify right side
   10,277.86x = 82,267,496.32
5. Step 5: Solve for x
   x = 82,267,496.32/10,277.86
6. Step 6: Final answer
   x = 8,004.34