Finding the Fourth Proportional to 6,298.84, 9,435.30 and 3,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.84 : 9,435.30 = 3,695.50 : x
2. Step 2: Convert to fraction form
   6,298.84/9,435.30 = 3,695.50/x
3. Step 3: Cross multiply
   6,298.84x = 9,435.30 × 3,695.50
4. Step 4: Simplify right side
   6,298.84x = 34,868,151.15
5. Step 5: Solve for x
   x = 34,868,151.15/6,298.84
6. Step 6: Final answer
   x = 5,535.65