Finding the Fourth Proportional to 9,368.04, 12,926.10 and 5,642.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,368.04 : 12,926.10 = 5,642.28 : x
2. Step 2: Convert to fraction form
   9,368.04/12,926.10 = 5,642.28/x
3. Step 3: Cross multiply
   9,368.04x = 12,926.10 × 5,642.28
4. Step 4: Simplify right side
   9,368.04x = 72,932,675.51
5. Step 5: Solve for x
   x = 72,932,675.51/9,368.04
6. Step 6: Final answer
   x = 7,785.27