Finding the Fourth Proportional to 10,061.60, 13,884.88 and 5,585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.60 : 13,884.88 = 5,585.34 : x
2. Step 2: Convert to fraction form
   10,061.60/13,884.88 = 5,585.34/x
3. Step 3: Cross multiply
   10,061.60x = 13,884.88 × 5,585.34
4. Step 4: Simplify right side
   10,061.60x = 77,551,775.66
5. Step 5: Solve for x
   x = 77,551,775.66/10,061.60
6. Step 6: Final answer
   x = 7,707.70