Finding the Fourth Proportional to 11,384.16, 15,701.04 and 7,846.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384.16 : 15,701.04 = 7,846.56 : x
2. Step 2: Convert to fraction form
   11,384.16/15,701.04 = 7,846.56/x
3. Step 3: Cross multiply
   11,384.16x = 15,701.04 × 7,846.56
4. Step 4: Simplify right side
   11,384.16x = 123,199,152.42
5. Step 5: Solve for x
   x = 123,199,152.42/11,384.16
6. Step 6: Final answer
   x = 10,821.98