Finding the Fourth Proportional to 11,564.58, 15,955.61 and 7,086.70

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.58 : 15,955.61 = 7,086.70 : x
2. Step 2: Convert to fraction form
   11,564.58/15,955.61 = 7,086.70/x
3. Step 3: Cross multiply
   11,564.58x = 15,955.61 × 7,086.70
4. Step 4: Simplify right side
   11,564.58x = 113,072,621.39
5. Step 5: Solve for x
   x = 113,072,621.39/11,564.58
6. Step 6: Final answer
   x = 9,777.49