Finding the Fourth Proportional to 2,536.58, 3,803.94 and 975.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.58 : 3,803.94 = 975.78 : x
2. Step 2: Convert to fraction form
   2,536.58/3,803.94 = 975.78/x
3. Step 3: Cross multiply
   2,536.58x = 3,803.94 × 975.78
4. Step 4: Simplify right side
   2,536.58x = 3,711,808.57
5. Step 5: Solve for x
   x = 3,711,808.57/2,536.58
6. Step 6: Final answer
   x = 1,463.31