Finding the Fourth Proportional to 7,323.84, 10,111.50 and 5,642.07

Step by Step Solution

1. Step 1: Write the proportion equation
   7,323.84 : 10,111.50 = 5,642.07 : x
2. Step 2: Convert to fraction form
   7,323.84/10,111.50 = 5,642.07/x
3. Step 3: Cross multiply
   7,323.84x = 10,111.50 × 5,642.07
4. Step 4: Simplify right side
   7,323.84x = 57,049,790.81
5. Step 5: Solve for x
   x = 57,049,790.81/7,323.84
6. Step 6: Final answer
   x = 7,789.60