Finding the Fourth Proportional to 11,774.16, 17,661.55 and 5,200.40

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.16 : 17,661.55 = 5,200.40 : x
2. Step 2: Convert to fraction form
   11,774.16/17,661.55 = 5,200.40/x
3. Step 3: Cross multiply
   11,774.16x = 17,661.55 × 5,200.40
4. Step 4: Simplify right side
   11,774.16x = 91,847,155.77
5. Step 5: Solve for x
   x = 91,847,155.77/11,774.16
6. Step 6: Final answer
   x = 7,800.74