Finding the Fourth Proportional to 10,363.66, 14,300.10 and 5,825.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.66 : 14,300.10 = 5,825.74 : x
2. Step 2: Convert to fraction form
   10,363.66/14,300.10 = 5,825.74/x
3. Step 3: Cross multiply
   10,363.66x = 14,300.10 × 5,825.74
4. Step 4: Simplify right side
   10,363.66x = 83,308,716.34
5. Step 5: Solve for x
   x = 83,308,716.34/10,363.66
6. Step 6: Final answer
   x = 8,038.54