Finding the Fourth Proportional to 2,715.78, 3,748.38 and 1,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,715.78 : 3,748.38 = 1,537.50 : x
2. Step 2: Convert to fraction form
   2,715.78/3,748.38 = 1,537.50/x
3. Step 3: Cross multiply
   2,715.78x = 3,748.38 × 1,537.50
4. Step 4: Simplify right side
   2,715.78x = 5,763,134.25
5. Step 5: Solve for x
   x = 5,763,134.25/2,715.78
6. Step 6: Final answer
   x = 2,122.09