Finding the Fourth Proportional to 5,200.58, 7,801.89 and 1,691.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.58 : 7,801.89 = 1,691.48 : x
2. Step 2: Convert to fraction form
   5,200.58/7,801.89 = 1,691.48/x
3. Step 3: Cross multiply
   5,200.58x = 7,801.89 × 1,691.48
4. Step 4: Simplify right side
   5,200.58x = 13,196,740.90
5. Step 5: Solve for x
   x = 13,196,740.90/5,200.58
6. Step 6: Final answer
   x = 2,537.55