Finding the Fourth Proportional to 9,802.56, 14,693.76 and 3,877.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.56 : 14,693.76 = 3,877.05 : x
2. Step 2: Convert to fraction form
   9,802.56/14,693.76 = 3,877.05/x
3. Step 3: Cross multiply
   9,802.56x = 14,693.76 × 3,877.05
4. Step 4: Simplify right side
   9,802.56x = 56,968,442.21
5. Step 5: Solve for x
   x = 56,968,442.21/9,802.56
6. Step 6: Final answer
   x = 5,811.59