Finding the Fourth Proportional to 10,802.50, 14,907.45 and 5,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.50 : 14,907.45 = 5,834.50 : x
2. Step 2: Convert to fraction form
   10,802.50/14,907.45 = 5,834.50/x
3. Step 3: Cross multiply
   10,802.50x = 14,907.45 × 5,834.50
4. Step 4: Simplify right side
   10,802.50x = 86,977,517.03
5. Step 5: Solve for x
   x = 86,977,517.03/10,802.50
6. Step 6: Final answer
   x = 8,051.61