Finding the Fourth Proportional to 11,498.00, 15,870.29 and 6,785.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,498.00 : 15,870.29 = 6,785.42 : x
2. Step 2: Convert to fraction form
   11,498.00/15,870.29 = 6,785.42/x
3. Step 3: Cross multiply
   11,498.00x = 15,870.29 × 6,785.42
4. Step 4: Simplify right side
   11,498.00x = 107,686,469.89
5. Step 5: Solve for x
   x = 107,686,469.89/11,498.00
6. Step 6: Final answer
   x = 9,365.67