Finding the Fourth Proportional to 9,820.84, 14,720.26 and 3,892.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.84 : 14,720.26 = 3,892.24 : x
2. Step 2: Convert to fraction form
   9,820.84/14,720.26 = 3,892.24/x
3. Step 3: Cross multiply
   9,820.84x = 14,720.26 × 3,892.24
4. Step 4: Simplify right side
   9,820.84x = 57,294,784.78
5. Step 5: Solve for x
   x = 57,294,784.78/9,820.84
6. Step 6: Final answer
   x = 5,834.00