Finding the Fourth Proportional to 10,507.54, 14,500.38 and 5,791.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.54 : 14,500.38 = 5,791.84 : x
2. Step 2: Convert to fraction form
   10,507.54/14,500.38 = 5,791.84/x
3. Step 3: Cross multiply
   10,507.54x = 14,500.38 × 5,791.84
4. Step 4: Simplify right side
   10,507.54x = 83,983,880.90
5. Step 5: Solve for x
   x = 83,983,880.90/10,507.54
6. Step 6: Final answer
   x = 7,992.73