Finding the Fourth Proportional to 9,296.66, 13,921.18 and 5,132.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.66 : 13,921.18 = 5,132.05 : x
2. Step 2: Convert to fraction form
   9,296.66/13,921.18 = 5,132.05/x
3. Step 3: Cross multiply
   9,296.66x = 13,921.18 × 5,132.05
4. Step 4: Simplify right side
   9,296.66x = 71,444,191.82
5. Step 5: Solve for x
   x = 71,444,191.82/9,296.66
6. Step 6: Final answer
   x = 7,684.93