Finding the Fourth Proportional to 7,376.64, 10,192.71 and 5,896.77

Step by Step Solution

1. Step 1: Write the proportion equation
   7,376.64 : 10,192.71 = 5,896.77 : x
2. Step 2: Convert to fraction form
   7,376.64/10,192.71 = 5,896.77/x
3. Step 3: Cross multiply
   7,376.64x = 10,192.71 × 5,896.77
4. Step 4: Simplify right side
   7,376.64x = 60,104,066.55
5. Step 5: Solve for x
   x = 60,104,066.55/7,376.64
6. Step 6: Final answer
   x = 8,147.89