Finding the Fourth Proportional to 9,296.61, 13,921.15 and 5,132

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.61 : 13,921.15 = 5,132 : x
2. Step 2: Convert to fraction form
   9,296.61/13,921.15 = 5,132/x
3. Step 3: Cross multiply
   9,296.61x = 13,921.15 × 5,132
4. Step 4: Simplify right side
   9,296.61x = 71,443,341.80
5. Step 5: Solve for x
   x = 71,443,341.80/9,296.61
6. Step 6: Final answer
   x = 7,684.88