Finding the Fourth Proportional to 9,742.09, 14,602.59 and 3,892.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.09 : 14,602.59 = 3,892.27 : x
2. Step 2: Convert to fraction form
   9,742.09/14,602.59 = 3,892.27/x
3. Step 3: Cross multiply
   9,742.09x = 14,602.59 × 3,892.27
4. Step 4: Simplify right side
   9,742.09x = 56,837,222.98
5. Step 5: Solve for x
   x = 56,837,222.98/9,742.09
6. Step 6: Final answer
   x = 5,834.19