Finding the Fourth Proportional to 9,788.04, 14,677.81 and 3,546.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.04 : 14,677.81 = 3,546.59 : x
2. Step 2: Convert to fraction form
   9,788.04/14,677.81 = 3,546.59/x
3. Step 3: Cross multiply
   9,788.04x = 14,677.81 × 3,546.59
4. Step 4: Simplify right side
   9,788.04x = 52,056,091.91
5. Step 5: Solve for x
   x = 52,056,091.91/9,788.04
6. Step 6: Final answer
   x = 5,318.34