Finding the Fourth Proportional to 6,499.95, 8,970.05 and 3,813.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.95 : 8,970.05 = 3,813.10 : x
2. Step 2: Convert to fraction form
   6,499.95/8,970.05 = 3,813.10/x
3. Step 3: Cross multiply
   6,499.95x = 8,970.05 × 3,813.10
4. Step 4: Simplify right side
   6,499.95x = 34,203,684.76
5. Step 5: Solve for x
   x = 34,203,684.76/6,499.95
6. Step 6: Final answer
   x = 5,262.15