Finding the Fourth Proportional to 10,666.16, 14,719.57 and 5,886.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666.16 : 14,719.57 = 5,886.20 : x
2. Step 2: Convert to fraction form
   10,666.16/14,719.57 = 5,886.20/x
3. Step 3: Cross multiply
   10,666.16x = 14,719.57 × 5,886.20
4. Step 4: Simplify right side
   10,666.16x = 86,642,244.62
5. Step 5: Solve for x
   x = 86,642,244.62/10,666.16
6. Step 6: Final answer
   x = 8,123.09