Finding the Fourth Proportional to 10,478.00, 15,727.32 and 7,696.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.00 : 15,727.32 = 7,696.86 : x
2. Step 2: Convert to fraction form
   10,478.00/15,727.32 = 7,696.86/x
3. Step 3: Cross multiply
   10,478.00x = 15,727.32 × 7,696.86
4. Step 4: Simplify right side
   10,478.00x = 121,050,980.22
5. Step 5: Solve for x
   x = 121,050,980.22/10,478.00
6. Step 6: Final answer
   x = 11,552.88