Finding the Fourth Proportional to 9,848.89, 14,779.50 and 5,105.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,848.89 : 14,779.50 = 5,105.53 : x
2. Step 2: Convert to fraction form
   9,848.89/14,779.50 = 5,105.53/x
3. Step 3: Cross multiply
   9,848.89x = 14,779.50 × 5,105.53
4. Step 4: Simplify right side
   9,848.89x = 75,457,180.64
5. Step 5: Solve for x
   x = 75,457,180.64/9,848.89
6. Step 6: Final answer
   x = 7,661.49