Finding the Fourth Proportional to 7,446.32, 10,275.78 and 4,089.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,446.32 : 10,275.78 = 4,089.02 : x
2. Step 2: Convert to fraction form
   7,446.32/10,275.78 = 4,089.02/x
3. Step 3: Cross multiply
   7,446.32x = 10,275.78 × 4,089.02
4. Step 4: Simplify right side
   7,446.32x = 42,017,869.94
5. Step 5: Solve for x
   x = 42,017,869.94/7,446.32
6. Step 6: Final answer
   x = 5,642.77