Finding the Fourth Proportional to 9,736.96, 14,582.06 and 5,564.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.96 : 14,582.06 = 5,564.32 : x
2. Step 2: Convert to fraction form
   9,736.96/14,582.06 = 5,564.32/x
3. Step 3: Cross multiply
   9,736.96x = 14,582.06 × 5,564.32
4. Step 4: Simplify right side
   9,736.96x = 81,139,248.10
5. Step 5: Solve for x
   x = 81,139,248.10/9,736.96
6. Step 6: Final answer
   x = 8,333.12