Finding the Fourth Proportional to 2,538.77, 3,802.68 and 1,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.77 : 3,802.68 = 1,237.50 : x
2. Step 2: Convert to fraction form
   2,538.77/3,802.68 = 1,237.50/x
3. Step 3: Cross multiply
   2,538.77x = 3,802.68 × 1,237.50
4. Step 4: Simplify right side
   2,538.77x = 4,705,816.50
5. Step 5: Solve for x
   x = 4,705,816.50/2,538.77
6. Step 6: Final answer
   x = 1,853.58