Finding the Fourth Proportional to 7,875.34, 10,871.31 and 5,633.32

Step by Step Solution

1. Step 1: Write the proportion equation
   7,875.34 : 10,871.31 = 5,633.32 : x
2. Step 2: Convert to fraction form
   7,875.34/10,871.31 = 5,633.32/x
3. Step 3: Cross multiply
   7,875.34x = 10,871.31 × 5,633.32
4. Step 4: Simplify right side
   7,875.34x = 61,241,568.05
5. Step 5: Solve for x
   x = 61,241,568.05/7,875.34
6. Step 6: Final answer
   x = 7,776.37