Finding the Fourth Proportional to 5,200.10, 7,801.10 and 1,915.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.10 : 7,801.10 = 1,915.55 : x
2. Step 2: Convert to fraction form
   5,200.10/7,801.10 = 1,915.55/x
3. Step 3: Cross multiply
   5,200.10x = 7,801.10 × 1,915.55
4. Step 4: Simplify right side
   5,200.10x = 14,943,348.52
5. Step 5: Solve for x
   x = 14,943,348.52/5,200.10
6. Step 6: Final answer
   x = 2,873.67