Finding the Fourth Proportional to 10,886.56, 16,330.18 and 5,186.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,886.56 : 16,330.18 = 5,186.30 : x
2. Step 2: Convert to fraction form
   10,886.56/16,330.18 = 5,186.30/x
3. Step 3: Cross multiply
   10,886.56x = 16,330.18 × 5,186.30
4. Step 4: Simplify right side
   10,886.56x = 84,693,212.53
5. Step 5: Solve for x
   x = 84,693,212.53/10,886.56
6. Step 6: Final answer
   x = 7,779.61