Finding the Fourth Proportional to 9,834.00, 13,569.93 and 5,585.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.00 : 13,569.93 = 5,585.24 : x
2. Step 2: Convert to fraction form
   9,834.00/13,569.93 = 5,585.24/x
3. Step 3: Cross multiply
   9,834.00x = 13,569.93 × 5,585.24
4. Step 4: Simplify right side
   9,834.00x = 75,791,358.46
5. Step 5: Solve for x
   x = 75,791,358.46/9,834.00
6. Step 6: Final answer
   x = 7,707.07