Finding the Fourth Proportional to 11,854.92, 17,784.30 and 3,645

Step by Step Solution

1. Step 1: Write the proportion equation
   11,854.92 : 17,784.30 = 3,645 : x
2. Step 2: Convert to fraction form
   11,854.92/17,784.30 = 3,645/x
3. Step 3: Cross multiply
   11,854.92x = 17,784.30 × 3,645
4. Step 4: Simplify right side
   11,854.92x = 64,823,773.50
5. Step 5: Solve for x
   x = 64,823,773.50/11,854.92
6. Step 6: Final answer
   x = 5,468.09