Finding the Fourth Proportional to 9,742.05, 14,624.01 and 3,902.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.05 : 14,624.01 = 3,902.76 : x
2. Step 2: Convert to fraction form
   9,742.05/14,624.01 = 3,902.76/x
3. Step 3: Cross multiply
   9,742.05x = 14,624.01 × 3,902.76
4. Step 4: Simplify right side
   9,742.05x = 57,074,001.27
5. Step 5: Solve for x
   x = 57,074,001.27/9,742.05
6. Step 6: Final answer
   x = 5,858.52