Finding the Fourth Proportional to 5,645.30, 7,787.94 and 3,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.30 : 7,787.94 = 3,656.50 : x
2. Step 2: Convert to fraction form
   5,645.30/7,787.94 = 3,656.50/x
3. Step 3: Cross multiply
   5,645.30x = 7,787.94 × 3,656.50
4. Step 4: Simplify right side
   5,645.30x = 28,476,602.61
5. Step 5: Solve for x
   x = 28,476,602.61/5,645.30
6. Step 6: Final answer
   x = 5,044.30