Finding the Fourth Proportional to 7,633.88, 10,526.72 and 5,648.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,633.88 : 10,526.72 = 5,648.56 : x
2. Step 2: Convert to fraction form
   7,633.88/10,526.72 = 5,648.56/x
3. Step 3: Cross multiply
   7,633.88x = 10,526.72 × 5,648.56
4. Step 4: Simplify right side
   7,633.88x = 59,460,809.52
5. Step 5: Solve for x
   x = 59,460,809.52/7,633.88
6. Step 6: Final answer
   x = 7,789.07