Finding the Fourth Proportional to 5,902.56, 8,145.56 and 3,384.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,902.56 : 8,145.56 = 3,384.77 : x
2. Step 2: Convert to fraction form
   5,902.56/8,145.56 = 3,384.77/x
3. Step 3: Cross multiply
   5,902.56x = 8,145.56 × 3,384.77
4. Step 4: Simplify right side
   5,902.56x = 27,570,814.86
5. Step 5: Solve for x
   x = 27,570,814.86/5,902.56
6. Step 6: Final answer
   x = 4,670.99