Finding the Fourth Proportional to 2,566.47, 3,848.80 and 900.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.47 : 3,848.80 = 900.42 : x
2. Step 2: Convert to fraction form
   2,566.47/3,848.80 = 900.42/x
3. Step 3: Cross multiply
   2,566.47x = 3,848.80 × 900.42
4. Step 4: Simplify right side
   2,566.47x = 3,465,536.50
5. Step 5: Solve for x
   x = 3,465,536.50/2,566.47
6. Step 6: Final answer
   x = 1,350.31