Finding the Fourth Proportional to 10,558.01, 14,569.38 and 5,842.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.01 : 14,569.38 = 5,842.28 : x
2. Step 2: Convert to fraction form
   10,558.01/14,569.38 = 5,842.28/x
3. Step 3: Cross multiply
   10,558.01x = 14,569.38 × 5,842.28
4. Step 4: Simplify right side
   10,558.01x = 85,118,433.81
5. Step 5: Solve for x
   x = 85,118,433.81/10,558.01
6. Step 6: Final answer
   x = 8,061.98