Finding the Fourth Proportional to 5,695.88, 7,861.12 and 5,446.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,695.88 : 7,861.12 = 5,446.80 : x
2. Step 2: Convert to fraction form
   5,695.88/7,861.12 = 5,446.80/x
3. Step 3: Cross multiply
   5,695.88x = 7,861.12 × 5,446.80
4. Step 4: Simplify right side
   5,695.88x = 42,817,934.80
5. Step 5: Solve for x
   x = 42,817,934.80/5,695.88
6. Step 6: Final answer
   x = 7,517.36