Finding the Fourth Proportional to 10,001.50, 13,802.07 and 5,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,001.50 : 13,802.07 = 5,585.50 : x
2. Step 2: Convert to fraction form
   10,001.50/13,802.07 = 5,585.50/x
3. Step 3: Cross multiply
   10,001.50x = 13,802.07 × 5,585.50
4. Step 4: Simplify right side
   10,001.50x = 77,091,461.99
5. Step 5: Solve for x
   x = 77,091,461.99/10,001.50
6. Step 6: Final answer
   x = 7,707.99