Finding the Fourth Proportional to 11,426.04, 15,775.74 and 7,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,426.04 : 15,775.74 = 7,402.56 : x
2. Step 2: Convert to fraction form
   11,426.04/15,775.74 = 7,402.56/x
3. Step 3: Cross multiply
   11,426.04x = 15,775.74 × 7,402.56
4. Step 4: Simplify right side
   11,426.04x = 116,780,861.89
5. Step 5: Solve for x
   x = 116,780,861.89/11,426.04
6. Step 6: Final answer
   x = 10,220.59