Finding the Fourth Proportional to 11,785.98, 17,674.64 and 3,463.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.98 : 17,674.64 = 3,463.86 : x
2. Step 2: Convert to fraction form
   11,785.98/17,674.64 = 3,463.86/x
3. Step 3: Cross multiply
   11,785.98x = 17,674.64 × 3,463.86
4. Step 4: Simplify right side
   11,785.98x = 61,222,478.51
5. Step 5: Solve for x
   x = 61,222,478.51/11,785.98
6. Step 6: Final answer
   x = 5,194.52