Finding the Fourth Proportional to 7,437.80, 10,256.15 and 5,648.58

Step by Step Solution

1. Step 1: Write the proportion equation
   7,437.80 : 10,256.15 = 5,648.58 : x
2. Step 2: Convert to fraction form
   7,437.80/10,256.15 = 5,648.58/x
3. Step 3: Cross multiply
   7,437.80x = 10,256.15 × 5,648.58
4. Step 4: Simplify right side
   7,437.80x = 57,932,697.89
5. Step 5: Solve for x
   x = 57,932,697.89/7,437.80
6. Step 6: Final answer
   x = 7,788.95