Finding the Fourth Proportional to 7,585.95, 10,469.88 and 5,602.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,585.95 : 10,469.88 = 5,602.24 : x
2. Step 2: Convert to fraction form
   7,585.95/10,469.88 = 5,602.24/x
3. Step 3: Cross multiply
   7,585.95x = 10,469.88 × 5,602.24
4. Step 4: Simplify right side
   7,585.95x = 58,654,700.17
5. Step 5: Solve for x
   x = 58,654,700.17/7,585.95
6. Step 6: Final answer
   x = 7,732.02