Finding the Fourth Proportional to 10,549.56, 14,558.69 and 5,834.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.56 : 14,558.69 = 5,834.01 : x
2. Step 2: Convert to fraction form
   10,549.56/14,558.69 = 5,834.01/x
3. Step 3: Cross multiply
   10,549.56x = 14,558.69 × 5,834.01
4. Step 4: Simplify right side
   10,549.56x = 84,935,543.05
5. Step 5: Solve for x
   x = 84,935,543.05/10,549.56
6. Step 6: Final answer
   x = 8,051.10