Finding the Fourth Proportional to 5,152.50, 7,725.25 and 1,641.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.50 : 7,725.25 = 1,641.45 : x
2. Step 2: Convert to fraction form
   5,152.50/7,725.25 = 1,641.45/x
3. Step 3: Cross multiply
   5,152.50x = 7,725.25 × 1,641.45
4. Step 4: Simplify right side
   5,152.50x = 12,680,611.61
5. Step 5: Solve for x
   x = 12,680,611.61/5,152.50
6. Step 6: Final answer
   x = 2,461.06