Finding the Fourth Proportional to 3,465, 5,200.38 and 2,097

Step by Step Solution

1. Step 1: Write the proportion equation
   3,465 : 5,200.38 = 2,097 : x
2. Step 2: Convert to fraction form
   3,465/5,200.38 = 2,097/x
3. Step 3: Cross multiply
   3,465x = 5,200.38 × 2,097
4. Step 4: Simplify right side
   3,465x = 10,905,196.86
5. Step 5: Solve for x
   x = 10,905,196.86/3,465
6. Step 6: Final answer
   x = 3,147.24