Finding the Fourth Proportional to 4,117.00, 5,684.74 and 3,802.15

Step by Step Solution

1. Step 1: Write the proportion equation
   4,117.00 : 5,684.74 = 3,802.15 : x
2. Step 2: Convert to fraction form
   4,117.00/5,684.74 = 3,802.15/x
3. Step 3: Cross multiply
   4,117.00x = 5,684.74 × 3,802.15
4. Step 4: Simplify right side
   4,117.00x = 21,614,253.16
5. Step 5: Solve for x
   x = 21,614,253.16/4,117.00
6. Step 6: Final answer
   x = 5,250.00