Finding the Fourth Proportional to 7,087.86, 9,782.13 and 5,406.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,087.86 : 9,782.13 = 5,406.30 : x
2. Step 2: Convert to fraction form
   7,087.86/9,782.13 = 5,406.30/x
3. Step 3: Cross multiply
   7,087.86x = 9,782.13 × 5,406.30
4. Step 4: Simplify right side
   7,087.86x = 52,885,129.42
5. Step 5: Solve for x
   x = 52,885,129.42/7,087.86
6. Step 6: Final answer
   x = 7,461.37