Finding the Fourth Proportional to 9,612.86, 13,265.75 and 5,633.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,612.86 : 13,265.75 = 5,633.96 : x
2. Step 2: Convert to fraction form
   9,612.86/13,265.75 = 5,633.96/x
3. Step 3: Cross multiply
   9,612.86x = 13,265.75 × 5,633.96
4. Step 4: Simplify right side
   9,612.86x = 74,738,709.86
5. Step 5: Solve for x
   x = 74,738,709.86/9,612.86
6. Step 6: Final answer
   x = 7,774.87