Finding the Fourth Proportional to 9,476.13, 13,073.64 and 5,646.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,476.13 : 13,073.64 = 5,646.99 : x
2. Step 2: Convert to fraction form
   9,476.13/13,073.64 = 5,646.99/x
3. Step 3: Cross multiply
   9,476.13x = 13,073.64 × 5,646.99
4. Step 4: Simplify right side
   9,476.13x = 73,826,714.34
5. Step 5: Solve for x
   x = 73,826,714.34/9,476.13
6. Step 6: Final answer
   x = 7,790.81