Finding the Fourth Proportional to 10,558.14, 14,569.47 and 5,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.14 : 14,569.47 = 5,842.50 : x
2. Step 2: Convert to fraction form
   10,558.14/14,569.47 = 5,842.50/x
3. Step 3: Cross multiply
   10,558.14x = 14,569.47 × 5,842.50
4. Step 4: Simplify right side
   10,558.14x = 85,122,128.48
5. Step 5: Solve for x
   x = 85,122,128.48/10,558.14
6. Step 6: Final answer
   x = 8,062.23