Finding the Fourth Proportional to 5,677.50, 7,835.96 and 5,428.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.50 : 7,835.96 = 5,428.43 : x
2. Step 2: Convert to fraction form
   5,677.50/7,835.96 = 5,428.43/x
3. Step 3: Cross multiply
   5,677.50x = 7,835.96 × 5,428.43
4. Step 4: Simplify right side
   5,677.50x = 42,536,934.73
5. Step 5: Solve for x
   x = 42,536,934.73/5,677.50
6. Step 6: Final answer
   x = 7,492.19