Finding the Fourth Proportional to 10,196.40, 14,077.80 and 7,834.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.40 : 14,077.80 = 7,834.32 : x
2. Step 2: Convert to fraction form
   10,196.40/14,077.80 = 7,834.32/x
3. Step 3: Cross multiply
   10,196.40x = 14,077.80 × 7,834.32
4. Step 4: Simplify right side
   10,196.40x = 110,289,990.10
5. Step 5: Solve for x
   x = 110,289,990.10/10,196.40
6. Step 6: Final answer
   x = 10,816.56