Finding the Fourth Proportional to 1,653.56, 2,478.84 and 775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.56 : 2,478.84 = 775.72 : x
2. Step 2: Convert to fraction form
   1,653.56/2,478.84 = 775.72/x
3. Step 3: Cross multiply
   1,653.56x = 2,478.84 × 775.72
4. Step 4: Simplify right side
   1,653.56x = 1,922,885.76
5. Step 5: Solve for x
   x = 1,922,885.76/1,653.56
6. Step 6: Final answer
   x = 1,162.88