Finding the Fourth Proportional to 2,566.96, 3,847.36 and 1,005.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.96 : 3,847.36 = 1,005.98 : x
2. Step 2: Convert to fraction form
   2,566.96/3,847.36 = 1,005.98/x
3. Step 3: Cross multiply
   2,566.96x = 3,847.36 × 1,005.98
4. Step 4: Simplify right side
   2,566.96x = 3,870,374.32
5. Step 5: Solve for x
   x = 3,870,374.32/2,566.96
6. Step 6: Final answer
   x = 1,507.77