Finding the Fourth Proportional to 5,196.47, 7,780.86 and 4,532.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.47 : 7,780.86 = 4,532.17 : x
2. Step 2: Convert to fraction form
   5,196.47/7,780.86 = 4,532.17/x
3. Step 3: Cross multiply
   5,196.47x = 7,780.86 × 4,532.17
4. Step 4: Simplify right side
   5,196.47x = 35,264,180.27
5. Step 5: Solve for x
   x = 35,264,180.27/5,196.47
6. Step 6: Final answer
   x = 6,786.18