Finding the Fourth Proportional to 10,549.82, 14,559.04 and 5,834.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.82 : 14,559.04 = 5,834.40 : x
2. Step 2: Convert to fraction form
   10,549.82/14,559.04 = 5,834.40/x
3. Step 3: Cross multiply
   10,549.82x = 14,559.04 × 5,834.40
4. Step 4: Simplify right side
   10,549.82x = 84,943,262.98
5. Step 5: Solve for x
   x = 84,943,262.98/10,549.82
6. Step 6: Final answer
   x = 8,051.63