Finding the Fourth Proportional to 11,814.08, 17,726.46 and 5,152.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814.08 : 17,726.46 = 5,152.64 : x
2. Step 2: Convert to fraction form
   11,814.08/17,726.46 = 5,152.64/x
3. Step 3: Cross multiply
   11,814.08x = 17,726.46 × 5,152.64
4. Step 4: Simplify right side
   11,814.08x = 91,338,066.85
5. Step 5: Solve for x
   x = 91,338,066.85/11,814.08
6. Step 6: Final answer
   x = 7,731.29