Finding the Fourth Proportional to 9,166.94, 12,651.00 and 5,188.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.94 : 12,651.00 = 5,188.05 : x
2. Step 2: Convert to fraction form
   9,166.94/12,651.00 = 5,188.05/x
3. Step 3: Cross multiply
   9,166.94x = 12,651.00 × 5,188.05
4. Step 4: Simplify right side
   9,166.94x = 65,634,030.28
5. Step 5: Solve for x
   x = 65,634,030.28/9,166.94
6. Step 6: Final answer
   x = 7,159.86