Finding the Fourth Proportional to 2,071.02, 3,106.84 and 684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.02 : 3,106.84 = 684.50 : x
2. Step 2: Convert to fraction form
   2,071.02/3,106.84 = 684.50/x
3. Step 3: Cross multiply
   2,071.02x = 3,106.84 × 684.50
4. Step 4: Simplify right side
   2,071.02x = 2,126,631.98
5. Step 5: Solve for x
   x = 2,126,631.98/2,071.02
6. Step 6: Final answer
   x = 1,026.85