Finding the Fourth Proportional to 5,662.64, 8,490.51 and 2,542.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,662.64 : 8,490.51 = 2,542.05 : x
2. Step 2: Convert to fraction form
   5,662.64/8,490.51 = 2,542.05/x
3. Step 3: Cross multiply
   5,662.64x = 8,490.51 × 2,542.05
4. Step 4: Simplify right side
   5,662.64x = 21,583,300.95
5. Step 5: Solve for x
   x = 21,583,300.95/5,662.64
6. Step 6: Final answer
   x = 3,811.52