Finding the Fourth Proportional to 10,359.34, 14,296.50 and 7,802.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.34 : 14,296.50 = 7,802.58 : x
2. Step 2: Convert to fraction form
   10,359.34/14,296.50 = 7,802.58/x
3. Step 3: Cross multiply
   10,359.34x = 14,296.50 × 7,802.58
4. Step 4: Simplify right side
   10,359.34x = 111,549,584.97
5. Step 5: Solve for x
   x = 111,549,584.97/10,359.34
6. Step 6: Final answer
   x = 10,768.02