Finding the Fourth Proportional to 11,883.54, 17,813.55 and 5,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,883.54 : 17,813.55 = 5,632.50 : x
2. Step 2: Convert to fraction form
   11,883.54/17,813.55 = 5,632.50/x
3. Step 3: Cross multiply
   11,883.54x = 17,813.55 × 5,632.50
4. Step 4: Simplify right side
   11,883.54x = 100,334,820.38
5. Step 5: Solve for x
   x = 100,334,820.38/11,883.54
6. Step 6: Final answer
   x = 8,443.18