Finding the Fourth Proportional to 10,802.47, 14,907.42 and 5,834.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.47 : 14,907.42 = 5,834.47 : x
2. Step 2: Convert to fraction form
   10,802.47/14,907.42 = 5,834.47/x
3. Step 3: Cross multiply
   10,802.47x = 14,907.42 × 5,834.47
4. Step 4: Simplify right side
   10,802.47x = 86,976,865.60
5. Step 5: Solve for x
   x = 86,976,865.60/10,802.47
6. Step 6: Final answer
   x = 8,051.57