Finding the Fourth Proportional to 9,839.31, 14,760.78 and 4,000.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.31 : 14,760.78 = 4,000.02 : x
2. Step 2: Convert to fraction form
   9,839.31/14,760.78 = 4,000.02/x
3. Step 3: Cross multiply
   9,839.31x = 14,760.78 × 4,000.02
4. Step 4: Simplify right side
   9,839.31x = 59,043,415.22
5. Step 5: Solve for x
   x = 59,043,415.22/9,839.31
6. Step 6: Final answer
   x = 6,000.77