Finding the Fourth Proportional to 6,592.61, 9,097.86 and 4,074.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.61 : 9,097.86 = 4,074.15 : x
2. Step 2: Convert to fraction form
   6,592.61/9,097.86 = 4,074.15/x
3. Step 3: Cross multiply
   6,592.61x = 9,097.86 × 4,074.15
4. Step 4: Simplify right side
   6,592.61x = 37,066,025.95
5. Step 5: Solve for x
   x = 37,066,025.95/6,592.61
6. Step 6: Final answer
   x = 5,622.36