Finding the Fourth Proportional to 10,549.52, 14,558.64 and 5,834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.52 : 14,558.64 = 5,834.24 : x
2. Step 2: Convert to fraction form
   10,549.52/14,558.64 = 5,834.24/x
3. Step 3: Cross multiply
   10,549.52x = 14,558.64 × 5,834.24
4. Step 4: Simplify right side
   10,549.52x = 84,938,599.83
5. Step 5: Solve for x
   x = 84,938,599.83/10,549.52
6. Step 6: Final answer
   x = 8,051.42