Finding the Fourth Proportional to 9,146.99, 12,618.20 and 5,784.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.99 : 12,618.20 = 5,784.14 : x
2. Step 2: Convert to fraction form
   9,146.99/12,618.20 = 5,784.14/x
3. Step 3: Cross multiply
   9,146.99x = 12,618.20 × 5,784.14
4. Step 4: Simplify right side
   9,146.99x = 72,985,343.34
5. Step 5: Solve for x
   x = 72,985,343.34/9,146.99
6. Step 6: Final answer
   x = 7,979.17