Finding the Fourth Proportional to 5,641.02, 7,784.91 and 3,545.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.02 : 7,784.91 = 3,545.82 : x
2. Step 2: Convert to fraction form
   5,641.02/7,784.91 = 3,545.82/x
3. Step 3: Cross multiply
   5,641.02x = 7,784.91 × 3,545.82
4. Step 4: Simplify right side
   5,641.02x = 27,603,889.58
5. Step 5: Solve for x
   x = 27,603,889.58/5,641.02
6. Step 6: Final answer
   x = 4,893.42