Finding the Fourth Proportional to 11,886.83, 17,819.67 and 5,642.99

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886.83 : 17,819.67 = 5,642.99 : x
2. Step 2: Convert to fraction form
   11,886.83/17,819.67 = 5,642.99/x
3. Step 3: Cross multiply
   11,886.83x = 17,819.67 × 5,642.99
4. Step 4: Simplify right side
   11,886.83x = 100,556,219.61
5. Step 5: Solve for x
   x = 100,556,219.61/11,886.83
6. Step 6: Final answer
   x = 8,459.46