Finding the Fourth Proportional to 10,361.80, 14,298.82 and 5,645.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361.80 : 14,298.82 = 5,645.96 : x
2. Step 2: Convert to fraction form
   10,361.80/14,298.82 = 5,645.96/x
3. Step 3: Cross multiply
   10,361.80x = 14,298.82 × 5,645.96
4. Step 4: Simplify right side
   10,361.80x = 80,730,565.77
5. Step 5: Solve for x
   x = 80,730,565.77/10,361.80
6. Step 6: Final answer
   x = 7,791.17