Finding the Fourth Proportional to 2,796.32, 3,859.02 and 1,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,796.32 : 3,859.02 = 1,537.50 : x
2. Step 2: Convert to fraction form
   2,796.32/3,859.02 = 1,537.50/x
3. Step 3: Cross multiply
   2,796.32x = 3,859.02 × 1,537.50
4. Step 4: Simplify right side
   2,796.32x = 5,933,243.25
5. Step 5: Solve for x
   x = 5,933,243.25/2,796.32
6. Step 6: Final answer
   x = 2,121.80