Finding the Fourth Proportional to 5,642.64, 7,787.73 and 5,393.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.64 : 7,787.73 = 5,393.46 : x
2. Step 2: Convert to fraction form
   5,642.64/7,787.73 = 5,393.46/x
3. Step 3: Cross multiply
   5,642.64x = 7,787.73 × 5,393.46
4. Step 4: Simplify right side
   5,642.64x = 42,002,810.25
5. Step 5: Solve for x
   x = 42,002,810.25/5,642.64
6. Step 6: Final answer
   x = 7,443.82