Finding the Fourth Proportional to 2,385.56, 3,577.86 and 653.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.56 : 3,577.86 = 653.78 : x
2. Step 2: Convert to fraction form
   2,385.56/3,577.86 = 653.78/x
3. Step 3: Cross multiply
   2,385.56x = 3,577.86 × 653.78
4. Step 4: Simplify right side
   2,385.56x = 2,339,133.31
5. Step 5: Solve for x
   x = 2,339,133.31/2,385.56
6. Step 6: Final answer
   x = 980.54