Finding the Fourth Proportional to 10,557.63, 14,570.46 and 5,842.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.63 : 14,570.46 = 5,842.80 : x
2. Step 2: Convert to fraction form
   10,557.63/14,570.46 = 5,842.80/x
3. Step 3: Cross multiply
   10,557.63x = 14,570.46 × 5,842.80
4. Step 4: Simplify right side
   10,557.63x = 85,132,283.69
5. Step 5: Solve for x
   x = 85,132,283.69/10,557.63
6. Step 6: Final answer
   x = 8,063.58