Finding the Fourth Proportional to 2,498.52, 3,762.69 and 2,177.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.52 : 3,762.69 = 2,177.76 : x
2. Step 2: Convert to fraction form
   2,498.52/3,762.69 = 2,177.76/x
3. Step 3: Cross multiply
   2,498.52x = 3,762.69 × 2,177.76
4. Step 4: Simplify right side
   2,498.52x = 8,194,235.77
5. Step 5: Solve for x
   x = 8,194,235.77/2,498.52
6. Step 6: Final answer
   x = 3,279.64