Finding the Fourth Proportional to 10,061.84, 13,884.71 and 5,585.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.84 : 13,884.71 = 5,585.32 : x
2. Step 2: Convert to fraction form
   10,061.84/13,884.71 = 5,585.32/x
3. Step 3: Cross multiply
   10,061.84x = 13,884.71 × 5,585.32
4. Step 4: Simplify right side
   10,061.84x = 77,550,548.46
5. Step 5: Solve for x
   x = 77,550,548.46/10,061.84
6. Step 6: Final answer
   x = 7,707.40